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Bulletin of the American Mathematical Society

A survey of integral representation theory

Irving Reiner
Source: Bull. Amer. Math. Soc. Volume 76, Number 2 (1970), 159-227.
First Page: Show Hide
Primary Subjects: 1075, 1548, 2080, 1640
Secondary Subjects: 1069, 1620
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183531476
Mathematical Reviews number (MathSciNet): MR0254092
Zentralblatt MATH identifier: 0194.04701

References

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81. D. K. Faddeev, On the theory of cubic Z-rings, Trudy Mat. Inst. Steklov. 80 (1965), 183-187 = Proc. Steklov Inst. Math. 80 (1965), 211-215. MR 33 #4083.
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Mathematical Reviews (MathSciNet): MR195887
82. D. K. Faddeevv, Equivalence of systems of integer matrices, Izv. Akad. Nauk SSSR Ser. Mat. 30 (1966), 449-454; English transl., Amer. Math. Soc. Transl. (2) 71 (1968), 43-48. MR 33 #2642.
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Mathematical Reviews (MathSciNet): MR194432
83. D. K. Faddeev, The number of classes of exact ideals for Z-rings, Mat. Zametki 1 (1967), 625-632 = Math. Notes 1 (1967), 415-419. MR 35 #5466.
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Mathematical Reviews (MathSciNet): MR214617
84. R. Fossum, The Noetherian different of projective orders, J. Reine Angew. Math. 224 (1966), 207-218. MR 36 #5119.
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84a. R. Fossum, Maximal orders over Krull domains, J. Algebra 10 (1968), 321-332. MR 38 #2130.
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Digital Object Identifier: doi:10.1016/0021-8693(68)90083-5
85. A. Fröhlich, Ideals in an extension field as modules over the algebraic integers in a finite number field, Math. Z. 74 (1960), 29-38. MR 22 #4708.
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86. A. Fröhlich, The module structure of Kummer extensions over Dedekind domains, J. Reine Angew. Math. 209 (1962), 39-53. MR 28 #3988; p. 1247.
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87. A. Fröhlich, Invariants for modules over commutative separable orders, Quart. J. Math. Oxford Ser. (2) 16 (1965), 193-232. MR 35 #1583.
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88. A. Fröhlich, Resolvents, discriminants, and trace invariants, J. Algebra 4 (1966), 173-198. MR 34 #7499.
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89. I. Giorgiutti, Modules projectifs sur les algèbres de groupes finis, C.R. Acad. Sci. Paris 250 (1960), 1419-1420. MR 23 #A1691.
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90. J. A. Green, On the indecomposable representations of a finite group, Math. Z. 70 (1958/59), 430-445. MR 24 #A1304.
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91. J. A. Green, Blocks of modular representations, Math. Z. 79 (1962), 100-115. MR 25 #5114.
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92. J. A. Green, The modular representation algebra of a finite group, Illinois J. Math. 6 (1962), 607-619. MR 25 #5106.
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Project Euclid: euclid.ijm/1255632708
93. J. A. Green, A transfer theorem for modular representations, J. Algebra 1 (1964), 73-84. MR 29 #147.
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94. K. Gruenberg, Residual properties of infinite soluble groups, Proc. London Math. Soc. (3) 7 (1957), 29-62. MR 19, 386.
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95. P. M. Gudivok, Integral representations of a finite group with a noncyclic Sylow p-subgroup, Uspehi Mat. Nauk 16 (1961), 229-230.
96. P. M. Gudivok, Integral representations of groups of type (p, p), Dokl. Užgorod Univ. Ser. Phys.-Mat. Nauk (1962), no. 5, 73.
97. P. M. Gudivok, On p-adic integral representations of finite groups, Dokl. Užgorod Univ. Ser. Phys.-Mat. Nauk (1962), no. 5, 81-82.
98. P. M. Gudivok, Representations of finite groups over certain local rings, Dopovīdī Akad. Nauk Ukraïn. RSR 1964, 173-176. (Ukrainian) MR 29 #3551.
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Mathematical Reviews (MathSciNet): MR166274
99. P. M. Gudivok, Representations of finite groups over quadratic rings, Dokl. Akad. Nauk SSSR 159 (1964), 1210-1213 =Soviet Math. Dokl. 5 (1964), 1669-1672. MR 30 #174.
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Mathematical Reviews (MathSciNet): MR169931
100. P. M. Gudivok, Representations of finite groups over local number rings, Dopovīdī Akad. Nauk Ukraïn. RSR 1966, 979-981. (Ukrainian) MR 34 #1407.
Mathematical Reviews (MathSciNet): MR201525
101. P. M. Gudivok, Representations of finite groups over number rings, Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967), 799-834 = Mat. USSR Izv. 1 (1967), 773-805. MR 36 #1554.
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Mathematical Reviews (MathSciNet): MR218468
102. P. M. Gudivok and V. P. Rud'ko, On p-adic integer-valued representations of a cyclic p-group, Dopovīdī Akad. Nauk Ukraïn. RSR 1966, 1111-1113. (Ukrainian) MR 34 #1409.
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Mathematical Reviews (MathSciNet): MR201527
103. T. Hannula, The integral representation ring a(RkG), Trans. Amer. Math. Soc. 133 (1968), 553-559.
Zentralblatt MATH: 0165.04103
Mathematical Reviews (MathSciNet): MR241548
104. M. Harada, Hereditary orders, Trans. Amer. Math. Soc. 107 (1963), 273-290. MR 27 #1474.
Zentralblatt MATH: 0113.26001
Mathematical Reviews (MathSciNet): MR151489
Digital Object Identifier: doi:10.1090/S0002-9947-1963-0151489-9
105. M. Harada, Structure of hereditary orders over local rings, J. Math. Osaka City Univ. 14 (1963), 1-22. MR 29 #5879.
Zentralblatt MATH: 0152.02003
Mathematical Reviews (MathSciNet): MR168619
106. M. Harada, Multiplicative ideal theory in hereditary orders, J. Math. Osaka City Univ. 14 (1963), 83-106. MR 29 #5880b.
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Mathematical Reviews (MathSciNet): MR168621
107. A. Hattori, Rank element of a projective module, Nagoya Math. J. 25 (1965), 113-120. MR 31 #226.
Zentralblatt MATH: 0142.28001
Mathematical Reviews (MathSciNet): MR175950
Project Euclid: euclid.nmj/1118801428
108. A. Hattori, Semisimple algebras over a commutative ring, J. Math. Soc. Japan 15 (1963), 404-419. MR 28 #2125.
Zentralblatt MATH: 0119.03403
Mathematical Reviews (MathSciNet): MR158903
Digital Object Identifier: doi:10.2969/jmsj/01540404
Project Euclid: euclid.jmsj/1260976536
109. A. Heller, On group representations over a valuation ring, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1194-1197. MR 23 #A2468.
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Mathematical Reviews (MathSciNet): MR125163
Digital Object Identifier: doi:10.1073/pnas.47.8.1194
110. A. Heller, Some exact sequences in algebraic K-theory, Topology 3 (1965), 389-408. MR 31 #3477.
Zentralblatt MATH: 0161.01507
Mathematical Reviews (MathSciNet): MR179229
Digital Object Identifier: doi:10.1016/0040-9383(65)90004-2
111. A. Heller and I. Reiner, Indecomposable representations, Illinois J. Math. 5 (1961), 314-323. MR 23 #A222.
Zentralblatt MATH: 0111.03101
Mathematical Reviews (MathSciNet): MR122890
Project Euclid: euclid.ijm/1255629829
112. A. Heller and I. Reiner, Representations of cyclic groups in rings of integers. I, II, Ann. of Math. (2) 76 (1962), 73-92; (2) 77 (1963), 318-328. MR 25 #3993; MR 26 #2520.
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Mathematical Reviews (MathSciNet): MR140575
Digital Object Identifier: doi:10.2307/1970266
113. A. Heller and I. Reiner, On groups with finitely many indecomposable integral representations, Bull. Amer. Math. Soc. 68 (1962), 210-212. MR 25 #1222.
Zentralblatt MATH: 0106.02503
Mathematical Reviews (MathSciNet): MR137773
Digital Object Identifier: doi:10.1090/S0002-9904-1962-10751-4
Project Euclid: euclid.bams/1183524564
114. A. Heller and I. Reiner, Grothendieck groups of orders in semisimple algebras, Trans. Amer. Math. Soc. 112 (1964), 344-355. MR 28 #5093.
Zentralblatt MATH: 0127.25803
Mathematical Reviews (MathSciNet): MR161889
Digital Object Identifier: doi:10.1090/S0002-9947-1964-0161889-X
115. A. Heller and I. Reiner, Grothendieck groups of integral group rings, Illinois J. Math. 9 (1965), 349-360. MR 31 #211.
Zentralblatt MATH: 0136.01801
Mathematical Reviews (MathSciNet): MR175935
Project Euclid: euclid.ijm/1256067896
116. D. G. Higman, Indecomposable representations at characteristic p, Duke Math. J. 21 (1954), 377-381. MR 16, 794.
Zentralblatt MATH: 0055.25503
Mathematical Reviews (MathSciNet): MR67896
Digital Object Identifier: doi:10.1215/S0012-7094-54-02138-9
Project Euclid: euclid.dmj/1077465741
117. D. G. Higman, Induced and produced modules, Canad. J. Math. 7 (1955), 490-508. MR 19, 390.
Zentralblatt MATH: 0065.26001
Mathematical Reviews (MathSciNet): MR87671
Digital Object Identifier: doi:10.4153/CJM-1955-052-4
118. D. G. Higman, On orders in separable algebras, Canad. J. Math. 7 (1955), 509-515. MR 19, 527.
Zentralblatt MATH: 0065.26002
Mathematical Reviews (MathSciNet): MR88486
Digital Object Identifier: doi:10.4153/CJM-1955-053-1
119. D. G. Higman, Relative cohomology, Canad. J. Math. 9 (1957), 19-34. MR 18, 715.
Zentralblatt MATH: 0077.04203
Mathematical Reviews (MathSciNet): MR83486
Digital Object Identifier: doi:10.4153/CJM-1957-004-4
120. D. G. Higman, On isomorphisms of orders, Michigan Math. J. 6 (1959), 255-257. MR 22 #62.
Zentralblatt MATH: 0106.25504
Mathematical Reviews (MathSciNet): MR109174
Digital Object Identifier: doi:10.1307/mmj/1028998231
Project Euclid: euclid.mmj/1028998231
121. D. G. Higman, On representations of orders over Dedekind domains, Canad. J. Math. 12 (1960), 107-125. MR 22 #63.
Zentralblatt MATH: 0090.02801
Mathematical Reviews (MathSciNet): MR109175
Digital Object Identifier: doi:10.4153/CJM-1960-010-1
122. D. G. Higman and J. E. MacLaughlin, Finiteness of class numbers of representations of algebras over function fields, Michigan Math. J. 6 (1959), 401-404. MR 22 #39.
Zentralblatt MATH: 0178.37002
Mathematical Reviews (MathSciNet): MR109151
Digital Object Identifier: doi:10.1307/mmj/1028998288
Project Euclid: euclid.mmj/1028998288
123. G. Higman, The units of group-rings, Proc. London Math. Soc. (2) 46 (1940), 231-248. MR 2, 5.
Mathematical Reviews (MathSciNet): MR2137
Digital Object Identifier: doi:10.1112/plms/s2-46.1.231
124. R. Holvoet, Sur l'isomorphie d'algèbres de groupes, Bull. Soc. Math. Belg. 20 (1968), 264-282.
Zentralblatt MATH: 0223.20005
Mathematical Reviews (MathSciNet): MR240219
124a. D. A. Jackson, On a problem in the theory of integral group rings, Ph.D. thesis, Oxford University, Oxford, 1967.
124b. D. A. Jackson, The group of units of the integral group ring of finite metabelian and finite nilpotent groups, Quart. J. Math. 20 (1969), 319-331.
Zentralblatt MATH: 0185.07001
Mathematical Reviews (MathSciNet): MR249521
Digital Object Identifier: doi:10.1093/qmath/20.1.319
125. H. Jacobinski, Über die Hauptordnung eines Körpers als Gruppenmodul, J. Reine Angew. Math. 213 (1963/64), 151-164. MR 29 #1200.
Zentralblatt MATH: 0124.02303
Mathematical Reviews (MathSciNet): MR163901
126. H. Jacobinski, On extensions of lattices, Michigan Math. J. 13 (1966), 471-475. MR 34 #4377.
Zentralblatt MATH: 0143.05702
Mathematical Reviews (MathSciNet): MR204538
Digital Object Identifier: doi:10.1307/mmj/1028999605
Project Euclid: euclid.mmj/1028999605
127. H. Jacobinski, Sur les ordres commutatifs avec un nombre fini de réseaux indécomposables, Acta Math. 118 (1967), 1-31. MR 35 #2876.
Zentralblatt MATH: 0156.04501
Mathematical Reviews (MathSciNet): MR212001
Digital Object Identifier: doi:10.1007/BF02392474
128. H. Jacobinski, Über die Geschlechter von Gittern über Ordnungen, J. Reine Angew. Math. 230 (1968), 29-39. MR 37 #5250.
Zentralblatt MATH: 0157.10403
Mathematical Reviews (MathSciNet): MR229676
129. H. Jacobinski, Genera and decompositions of lattices over orders, Acta. Math. 121 (1968), 1-29.
Zentralblatt MATH: 0167.04503
Mathematical Reviews (MathSciNet): MR251063
Digital Object Identifier: doi:10.1007/BF02391907
130. H. Jacobinski, On embedding of lattices belonging to the same genus, Proc. Amer. Math. Soc. 24 (1970), 134-136.
Zentralblatt MATH: 0188.08704
Mathematical Reviews (MathSciNet): MR251072
Digital Object Identifier: doi:10.1090/S0002-9939-1970-0251072-X
131. N. Jacobson, The theory of rings, Math. Surveys, no. II, Amer. Math. Soc., Providence, R. I., 1943. MR 5, 31.
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Mathematical Reviews (MathSciNet): MR8601
132. N. Jacobson, Structure of rings, Amer. Math. Soc. Colloq. Publ., vol. 37, Amer. Math. Soc., Providence, R. I., 1956. MR 18, 373.
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Mathematical Reviews (MathSciNet): MR44505
133. W. E. Jenner, Block ideals and arithmetics of algebras, Compositio Math. 11 (1953), 187-203. MR 16, 7.
Zentralblatt MATH: 0052.27001
Mathematical Reviews (MathSciNet): MR62723
134. W. E. Jenner, On the class number of non-maximal orders in (P-adic division algebras, Math. Scand. 4 (1956), 125-128. MR 18, 375.
Zentralblatt MATH: 0071.03102
Mathematical Reviews (MathSciNet): MR81270
135. A. Jones, Groups with a finite number of indecomposable integral representations, Michigan Math. J. 10 (1963), 257-261. MR 27 #3698.
Zentralblatt MATH: 0116.25803
Mathematical Reviews (MathSciNet): MR153737
Digital Object Identifier: doi:10.1307/mmj/1028998908
Project Euclid: euclid.mmj/1028998908
136. A. Jones, Integral representations of the direct product of groups, Canad. J. Math. 15 (1963), 625-630. MR 27 #4870.
Zentralblatt MATH: 0118.04001
Mathematical Reviews (MathSciNet): MR154927
Digital Object Identifier: doi:10.4153/CJM-1963-064-9
137. A. Jones, On representations of finite groups over valuation rings, Illinois J. Math. 9 (1965), 297-303. MR 31 #257.
Zentralblatt MATH: 0132.27403
Mathematical Reviews (MathSciNet): MR175981
Project Euclid: euclid.ijm/1256067890
138. I. Kaplansky, Elementary divisors and modules, Trans. Amer. Math. Soc. 66 (1949), 464-491. MR 11, 155.
Zentralblatt MATH: 0036.01903
Mathematical Reviews (MathSciNet): MR31470
Digital Object Identifier: doi:10.1090/S0002-9947-1949-0031470-3
139. I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc 72 (1952), 327-340. MR 13, 719.
Zentralblatt MATH: 0046.25701
Mathematical Reviews (MathSciNet): MR46349
Digital Object Identifier: doi:10.1090/S0002-9947-1952-0046349-0
140. I. Kaplansky, Submodules of quaternion algebras, Proc. London Math. Soc. (3) 19 (1969), 219-232.
Zentralblatt MATH: 0212.39102
Mathematical Reviews (MathSciNet): MR240142
Digital Object Identifier: doi:10.1112/plms/s3-19.2.219
141. V. V. Kiričenko, Orders whose representations are all completely reducible, Mat. Zametki 2 (1967), 139-144 = Math. Notes 2 (1967), 567-570. MR 36 #2609.
Zentralblatt MATH: 0189.03703
Mathematical Reviews (MathSciNet): MR219528
142. D. I. Knee, The indecomposable integral representations of finite cyclic groups, Ph.D. Thesis, M.I.T., Cambridge, Mass., 1962.
143. M. Kneser, Einige Bemerkungen über ganzzahlige Darstellungen endlicher Gruppen, Arch. Math 17 (1966), 377-379. MR 34 #1408.
Zentralblatt MATH: 0144.01802
Mathematical Reviews (MathSciNet): MR201526
Digital Object Identifier: doi:10.1007/BF01899614
144. S. A. Krugljak, Exact ideals in a second order integral matrix ring, Ukrain. Mat. Ž. 18 (1966), no. 3, 58-64. (Russian) MR 33 #7378.
Mathematical Reviews (MathSciNet): MR199229
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145. S. A. Krugljak, The Grothendieck group, Ukrain. Mat. Ž. 18 (1966), no. 5, 100-105. (Russian) MR 34 #204.
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Mathematical Reviews (MathSciNet): MR200305
Digital Object Identifier: doi:10.1007/BF02537860
146. T. Y. Lam, Induction theorems for Grothendieck groups and Whitehead groups of finite groups, Ann. Sci. École Norm. Sup. (4) 1 (1968), 91-148.
Zentralblatt MATH: 0164.02703
Mathematical Reviews (MathSciNet): MR231890
147. R. Larson, Group rings over Dedekind domains. I, II, J. Algebra 5 (1967), 358-361; 7 (1967), 278-279. MR 35 #266; MR 35 #5525.
Zentralblatt MATH: 0155.36205
Mathematical Reviews (MathSciNet): MR209368
Digital Object Identifier: doi:10.1016/0021-8693(67)90045-2
148. C. G. Latimer and C. C. MacDuffee, A correspondence between classes of ideals and classes of matrices, Ann. of Math, (2) 34 (1933), 313-316.
Mathematical Reviews (MathSciNet): MR1503108
Digital Object Identifier: doi:10.2307/1968204
149. W. J. Leahey, The classification of the indecomposable integral representations of the dihedral group of order 2p, Ph.D. Thesis, M.I.T., Cambridge, Mass., 1962.
150. M. P. Lee, Integral representations of dihedral groups of order 2p, Trans. Amer. Math. Soc. 110 (1964), 213-231. MR 28 #139.
Zentralblatt MATH: 0126.05403
Mathematical Reviews (MathSciNet): MR156896
151. H. Leopoldt, Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers, J. Reine Angew. Math. 201 (1959), 119-149. MR 21 #7195.
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Mathematical Reviews (MathSciNet): MR108479
152. L. S. Levy, Decomposing pairs of modules, Trans. Amer. Math. Soc. 122 (1966), 64-80. MR 33 #2677.
Zentralblatt MATH: 0145.04403
Mathematical Reviews (MathSciNet): MR194467
Digital Object Identifier: doi:10.1090/S0002-9947-1966-0194467-9
153. G. W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576-592. MR 13, 106.
Zentralblatt MATH: 0045.30305
Mathematical Reviews (MathSciNet): MR42420
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154. J.-M. Maranda, On B-adic integral representations of finite groups, Canad. J. Math. 5 (1953), 344-355. MR. 15, 100.
Zentralblatt MATH: 0052.26102
Mathematical Reviews (MathSciNet): MR56605
Digital Object Identifier: doi:10.4153/CJM-1953-040-2
155. J.-M. Maranda, On the equivalence of representations of finite groups by groups of automorphisms of modules over Dedekind rings, Canad. J. Math. 7 (1955), 516-526. MR 19, 529.
Zentralblatt MATH: 0065.26101
Mathematical Reviews (MathSciNet): MR88498
Digital Object Identifier: doi:10.4153/CJM-1955-054-9
155a. J. Martinet, Sur l'arithmétique des extensions galoisiennes à groupe de Galois diédral d'ordre 2p, Ann. Inst. Fourier (Grenoble) 19 (1969) (to appear).
Zentralblatt MATH: 0165.06502
Mathematical Reviews (MathSciNet): MR262210
Digital Object Identifier: doi:10.5802/aif.307
156. A. Matuljauskas, Integral representations of a fourth-order cyclic group, Litovsk. Mat. Sb. 2 (1962), no. 1, 75-82. (Russian) MR 26 #6274.
Mathematical Reviews (MathSciNet): MR148768
157. A. Matuljauskas, Integral representations of the cyclic group of order six, Litovsk. Mat. Sb. 2 (1962), no. 2, 149-157. (Russian) MR 27 #5835.
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Mathematical Reviews (MathSciNet): MR155902
158. A. Matuljauskas, On the number of indecomposable representations of the group Z8, Litovsk. Mat. Sb 3 (1963), no. 1, 181-188. (Russian) MR 29 #2309.
Zentralblatt MATH: 0145.03003
Mathematical Reviews (MathSciNet): MR165018
159. A. Matuljauskas and M. Matuljauskene, On integral representations of a group of type (3, 3), Litovsk. Mat. Sb. 4 (1964), 229-233. (Russian) MR 29 #4812.
Mathematical Reviews (MathSciNet): MR167540
160. Warren May, Commutative group algebras, Trans. Amer. Math. Soc. 136 (1969), 139-149. MR 38 #2224.
Zentralblatt MATH: 0182.04401
Mathematical Reviews (MathSciNet): MR233903
Digital Object Identifier: doi:10.1090/S0002-9947-1969-0233903-9
160a. G. O. Michler, Structure of semi-perfect hereditary noetherian rings, J. Algebra 13 (1969), 327-344.
Zentralblatt MATH: 0198.05803
Mathematical Reviews (MathSciNet): MR246918
Digital Object Identifier: doi:10.1016/0021-8693(69)90078-7
161. T. Nakayama, A theorem on modules of trivial cohomology over a finite group, Proc. Japan Acad. 32 (1956), 373-376. MR 18, 191.
Zentralblatt MATH: 0075.24101
Mathematical Reviews (MathSciNet): MR80098
Digital Object Identifier: doi:10.3792/pja/1195525334
Project Euclid: euclid.pja/1195525334
162. T. Nakayama, On modules of trivial cohomology over a finite group, Illinois J. Math. 1 (1957), 36-43. MR 18, 793.
Zentralblatt MATH: 0207.33601
Mathematical Reviews (MathSciNet): MR84014
Project Euclid: euclid.ijm/1255378504
163. T. Nakayama, On modules of trivial cohomology over a finite group. II: Finitely generated modules, Nagoya Math. J. 12 (1957), 171-176. MR 20 #4587.
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Mathematical Reviews (MathSciNet): MR98125
Project Euclid: euclid.nmj/1118799937
164. L. A. Nazarova, Unimodular representations of the four group, Dokl. Akad. Nauk SSSR 140 (1961), 1011-1014 = Soviet Math. Dokl. 2 (1961), 1304-1307. MR 24 #A770.
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Mathematical Reviews (MathSciNet): MR130916
165. L. A. Nazarova, Unimodular representations of the alternating group of degree four, Ukrain. Mat. Ž. 15 (1963), 437-444. (Russian) MR 28 #2148.
Mathematical Reviews (MathSciNet): MR158926
166. L. A. Nazarova, Representations of a tetrad, Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967), 1361-1378 = Math. USSR Izv. 1 (1967), 1305-1322. MR 36 #6400.
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Mathematical Reviews (MathSciNet): MR223352
167. L. A. Nazarova and A. V. Roĭter, Integral representations of the symmetric group of third degree, Ukrain. Mat. Ž. 14 (1962), 271-288. (Russian) MR 26 #6273.
Mathematical Reviews (MathSciNet): MR148767
Digital Object Identifier: doi:10.1007/BF02526636
168. L. A. Nazarova and A. V. Roĭter, On irreducible representations of p-groups over Zp(ε), Ukrain. Mat. Ž. 18 (1966), no 1, 119-124. (Russian) MR 34 #254.
Zentralblatt MATH: 0306.20006
Mathematical Reviews (MathSciNet): MR200358
Digital Object Identifier: doi:10.1007/BF02537723
169. L. A. Nazarova and A. V. Roĭter, On integral p-adic representations and representations over residue class rings, Ukrain. Mat. Ž. 19 (1967), no. 2, 125-126. (Russian) MR 35 #267.
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Mathematical Reviews (MathSciNet): MR209369
170. L. A. Nazarova and A. V. Roĭter, Refinement of a theorem of Bass, Dokl. Akad. Nauk SSSR 176 (1967), 266-268 = Soviet Math. Dokl. 8 (1967), 1089-1092. MR 37 #1402.
Zentralblatt MATH: 0176.31702
Mathematical Reviews (MathSciNet): MR225810
171. L. A. Nazarova and A. V. Roĭter, Finitely generated modules over a dyad of a pair of local Dedekind rings, and finite groups having an abelian normal subgroup of index p, Izv. Akad. Nauk SSSR Ser. Mat. 33 (1969), 65-89 = Math. USSR Izv. 3 (1969).
Zentralblatt MATH: 0195.04301
Mathematical Reviews (MathSciNet): MR260859
172. M. Newman and O. Taussky, Classes of positive definite unimodular circulants, Canad. J. Math. 9 (1957), 71-73. MR 18, 634.
Zentralblatt MATH: 0207.34003
Mathematical Reviews (MathSciNet): MR82947
Digital Object Identifier: doi:10.4153/CJM-1957-010-5
173. M. Newman and O. Taussky, On a generalization of the normal basis in abelian algebraic number fields, Comm. Pure Appl. Math. 9 (1956), 85-91. MR 17, 829.
Zentralblatt MATH: 0071.03308
Mathematical Reviews (MathSciNet): MR75985
Digital Object Identifier: doi:10.1002/cpa.3160090106
174. R. J. Nunke, Modules of extensions over Dedekind rings, Illinois J. Math. 3 (1959), 222-241. MR 21 #1329.
Zentralblatt MATH: 0087.26603
Mathematical Reviews (MathSciNet): MR102538
Project Euclid: euclid.ijm/1255455124
175. T. Obayashi, On the Grothendieck ring of an abelian p-group, Nagoya Math. J. 26 (1966), 101-113. MR 37 #1438.
Zentralblatt MATH: 0152.00801
Mathematical Reviews (MathSciNet): MR225847
Project Euclid: euclid.nmj/1118801532
176. J. Oppenheim, Integral representations of cyclic groups of squarefree order, Ph.D. Thesis, University of Illinois, Urbana, Ill., 1962.
177. D. S. Passman, Nil ideals in group rings, Michigan Math. J. 9 (1962), 375-384. MR 26 #2470.
Zentralblatt MATH: 0113.02903
Mathematical Reviews (MathSciNet): MR144930
Digital Object Identifier: doi:10.1307/mmj/1028998773
Project Euclid: euclid.mmj/1028998773
178. D. S. Passman, Isomorphic groups and group rings, Pacific J. Math. 15 (1965), 561-583. MR 33 #1381.
Zentralblatt MATH: 0171.28603
Mathematical Reviews (MathSciNet): MR193160
Project Euclid: euclid.pjm/1102995810
179. L. C. Pu, Integral representations of non-abelian groups of order pq, Michigan Math. J. 12 (1965), 231-246. MR 31 #2321.
Zentralblatt MATH: 0136.01701
Mathematical Reviews (MathSciNet): MR178063
Digital Object Identifier: doi:10.1307/mmj/1028999314
Project Euclid: euclid.mmj/1028999314
180. T. Ralley, Decomposition of products of modular representations, J. London Math. Soc. 44 (1969), 480-484.
Zentralblatt MATH: 0184.05103
Mathematical Reviews (MathSciNet): MR240220
Digital Object Identifier: doi:10.1112/jlms/s1-44.1.480
181. I. Reiner, Maschke modules over Dedekind rings, Canad. J. Math. 8 (1956), 329-334. MR 18, 7.
Zentralblatt MATH: 0075.24302
Mathematical Reviews (MathSciNet): MR78969
Digital Object Identifier: doi:10.4153/CJM-1956-037-3
182. I. Reiner, Integral representations of cyclic groups of prime order, Proc. Amer. Math. Soc. 8 (1957), 142-146, MR 18, 717.
Zentralblatt MATH: 0077.25103
Mathematical Reviews (MathSciNet): MR83493
Digital Object Identifier: doi:10.1090/S0002-9939-1957-0083493-6
183. I. Reiner, On the class number of representations of an order, Canad. J. Math. 11 (1959), 660-672. MR 21 #7229.
Zentralblatt MATH: 0107.03401
Mathematical Reviews (MathSciNet): MR108513
Digital Object Identifier: doi:10.4153/CJM-1959-061-5
184. I. Reiner, The nonuniqueness of irreducible constituents of integral group representations, Proc. Amer. Math. Soc. 11 (1960), 655-658. MR 23 #A223.
Zentralblatt MATH: 0099.01503
Mathematical Reviews (MathSciNet): MR122891
Digital Object Identifier: doi:10.1090/S0002-9939-1960-0122891-9
185. I. Reiner, Behavior of integral group representations under ground ring extension, Illinois J. Math. 4 (1960), 640-651. MR 22 #12145.
Zentralblatt MATH: 0095.02101
Mathematical Reviews (MathSciNet): MR121407
Project Euclid: euclid.ijm/1255456282
186. I. Reiner, The Krull-Schmidt theorem for integral group representations, Bull. Amer. Math. Soc. 67 (1961), 365-367. MR 25 #2132.
Zentralblatt MATH: 0099.01504
Mathematical Reviews (MathSciNet): MR138689
Digital Object Identifier: doi:10.1090/S0002-9904-1961-10619-8
Project Euclid: euclid.bams/1183524252
187. I. Reiner, Indecomposable representations of non-cyclic groups, Michigan Math. J. 9 (1962), 187-191. MR 25 #3994.
Zentralblatt MATH: 0108.03102
Mathematical Reviews (MathSciNet): MR140576
Digital Object Identifier: doi:10.1307/mmj/1028998678
Project Euclid: euclid.mmj/1028998678
188. I. Reiner, Failure of the Krull-Schmidt theorem for integral representations, Michigan Math. J. 9 (1962), 225-231. MR 26 #2482.
Zentralblatt MATH: 0106.02504
Mathematical Reviews (MathSciNet): MR144942
Digital Object Identifier: doi:10.1307/mmj/1028998721
Project Euclid: euclid.mmj/1028998721
189. I. Reiner, Extensions of irreducible modules, Michigan Math J. 10 (1963), 273-276. MR 27 #5807.
Zentralblatt MATH: 0117.02301
Mathematical Reviews (MathSciNet): MR155874
Digital Object Identifier: doi:10.1307/mmj/1028998911
Project Euclid: euclid.mmj/1028998911
190. I. Reiner, The integral representation ring of a finite group, Michigan Math. J. 12 (1965), 11-22. MR 30 #3152.
Zentralblatt MATH: 0133.28502
Mathematical Reviews (MathSciNet): MR172937
Digital Object Identifier: doi:10.1307/mmj/1028999240
Project Euclid: euclid.mmj/1028999240
191. I. Reiner, Nilpotent elements in rings of integral representations, Proc. Amer. Math. Soc. 17 (1966), 270-274. MR 32 #5745.
Zentralblatt MATH: 0133.28503
Mathematical Reviews (MathSciNet): MR188306
Digital Object Identifier: doi:10.1090/S0002-9939-1966-0188306-5
192. I. Reiner, Integral representation algebras, Trans. Amer. Math. Soc. 124 (1966), 111-121. MR 34 #2722.
Zentralblatt MATH: 0147.01201
Mathematical Reviews (MathSciNet): MR202863
193. I. Reiner, Relations between integral and modular representations, Michigan Math. J. 13 (1966), 357-372. MR 36 #5240.
Zentralblatt MATH: 0147.01102
Mathematical Reviews (MathSciNet): MR222188
Digital Object Identifier: doi:10.1307/mmj/1031732787
Project Euclid: euclid.mmj/1031732787
194. I. Reiner, Module extensions and blocks, J. Algebra 5 (1967), 157-163. MR 35 #4316.
Zentralblatt MATH: 0149.27404
Mathematical Reviews (MathSciNet): MR213452
Digital Object Identifier: doi:10.1016/0021-8693(67)90032-4
195. I. Reiner, Representation rings, Michigan Math. J. 14 (1967), 385-391. MR 36 #1555.
Zentralblatt MATH: 0223.20004
Mathematical Reviews (MathSciNet): MR218469
Digital Object Identifier: doi:10.1307/mmj/1028999838
Project Euclid: euclid.mmj/1028999838
196. I. Reiner, An involution on K0(ZG), Mat. Zametki 3 (1968), 523-527. (Russian) MR 37 #5270.
Zentralblatt MATH: 0174.05504
Mathematical Reviews (MathSciNet): MR229696
197. I. Reiner, A survey of integral representation theory, Proc. Algebra Sympos., University of Kentucky (Lexington, 1968), pp. 8-14.
Zentralblatt MATH: 0194.04701
198. I. Reiner, Maximal orders, Mimeograph Notes, University of Illinois, Urbana, Ill., 1969.
Zentralblatt MATH: 1024.16008
199. I. Reiner and H. Zassenhaus, Equivalence of representations under extensions of local ground rings, Illinois J. Math. 5 (1961), 409-411. MR 23 #A3764.
Zentralblatt MATH: 0104.02804
Mathematical Reviews (MathSciNet): MR126468
Project Euclid: euclid.ijm/1255630885
200. D. S. Rim, Modules over finite groups, Ann. of Math. (2) 69 (1959), 700-712. MR 21 #3474.
Zentralblatt MATH: 0092.26104
Mathematical Reviews (MathSciNet): MR104721
Digital Object Identifier: doi:10.2307/1970033
201. D. S. Rim, On projective class groups, Trans. Amer. Math. Soc. 98 (1961), 459-467. MR 23 #A1690.
Zentralblatt MATH: 0105.01401
Mathematical Reviews (MathSciNet): MR124378
Digital Object Identifier: doi:10.1090/S0002-9947-1961-0124378-1
202. K. W. Roggenkamp, Gruppenringe von unendlichem Darstellungstyp, Math. Z. 96 (1967), 393-398. MR 34 #5948.
Zentralblatt MATH: 0157.36204
Mathematical Reviews (MathSciNet): MR206123
Digital Object Identifier: doi:10.1007/BF01117098
203. K. W. Roggenkamp, Darstellungen endlicher Gruppen in Polynomringen, Math. Z. 96 (1967), 399-407. MR 34 #5949.
Zentralblatt MATH: 0157.36301
Mathematical Reviews (MathSciNet): MR206124
Digital Object Identifier: doi:10.1007/BF01117099
204. K. W. Roggenkamp, Grothendieck groups of hereditary orders, J. Reine Angew. Math. 235 (1969), 29-40.
Zentralblatt MATH: 0169.35802
Mathematical Reviews (MathSciNet): MR254101
205. K. W. Roggenkamp, On the irreducible lattices of orders, Canad. J. Math. 21 (1969), 970-976.
Zentralblatt MATH: 0182.06001
Mathematical Reviews (MathSciNet): MR248247
Digital Object Identifier: doi:10.4153/CJM-1969-106-x
206. K. W. Roggenkamp, Das Krull-Schmidt Theorem für projektive Gitter in Ordnungen über lokalen Ringen, Math. Seminar (Giessen, 1969).
Zentralblatt MATH: 0165.35301
207. K. W. Roggenkamp, Projective modules over clean orders, Compositio Math. 21 (1969), 185-194.
Zentralblatt MATH: 0175.31801
Mathematical Reviews (MathSciNet): MR248170
208. K. W. Roggenkamp, A necessary and sufficient condition for orders in direct sums of complete skewfields to have only finitely many nonisomorphic indecomposable integral representations, Bull. Amer. Math. Soc. 76 (1969), 130-134.
Zentralblatt MATH: 0192.38101
Mathematical Reviews (MathSciNet): MR284466
Digital Object Identifier: doi:10.1090/S0002-9904-1970-12398-9
Project Euclid: euclid.bams/1183531407
208a. K. W. Roggenkamp, Projective homorphisms and extensions of lattices, J. Reine Angew. Math. (to appear).
Zentralblatt MATH: 0208.04204
Mathematical Reviews (MathSciNet): MR274485
208b. K. W. Roggenkamp and V. H. Dyson, Modules over orders, Springer Lecture Notes (to appear).
Mathematical Reviews (MathSciNet): MR283013
Zentralblatt MATH: 0205.33501
209. A. V. Roĭter, On the representations of the cyclic group of fourth order by integral matrices, Vestnik Leningrad. Univ. 15 (1960), no. 19, 65-74. (Russian) MR 23 #A1730.
Mathematical Reviews (MathSciNet): MR124418
210. A. V. Roĭter, Categories with division and integral representations, Dokl. Akad. Nauk SSSR 153 (1963), 46-48 = Soviet Math. Dokl. 4 (1963), 1621-1623. MR 33 #2704.
Zentralblatt MATH: 0201.35803
Mathematical Reviews (MathSciNet): MR194494
211. A. V. Roĭter, On a category of representations, Ukrain. Mat. Z. 15 (1963), 448-452. (Russian) MR 28 #3072.
Zentralblatt MATH: 0121.04005
Mathematical Reviews (MathSciNet): MR159856
212. A. V. Roĭter, On integral representations belonging to a genus, Izv. Akad. Nauk SSSR Ser. Mat. 30 (1966), 1315-1324; English transl., Amer. Math. Soc. Transl. (2) 71 (1968), 49-59. MR 35 #4255.
Zentralblatt MATH: 0232.20006
Mathematical Reviews (MathSciNet): MR213391
213. A. V. Roĭter, Divisibility in the category of representations over a complete local Dedekind ring, Ukrain. Mat. Ž. 17 (1965), no. 4, 124-129. (Russian) MR 33 #5699.
Mathematical Reviews (MathSciNet): MR197534
214. A. V. Roĭter, E-systems of representations, Ukrain. Mat. Ž. 17 (1965), no. 2, 88-96. (Russian) MR 32 #7620.
Mathematical Reviews (MathSciNet): MR190206
Digital Object Identifier: doi:10.1007/BF02526496
215. A. V. Roĭter, An analog of Bass' theorem for representation modules of non-commutative orders, Dokl. Akad. Nauk SSSR 168 (1966), 1261-1264 = Soviet Math. Dokl. 7 (1966), 830-833. MR 34 #2632.
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Mathematical Reviews (MathSciNet): MR202772
216. A. V. Roĭter, Unboundedness of the dimensions of indecomposable representations of algebras having infinitely many indecomposable representations, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1275-1282 = Math. USSR Izv. 2 (1968) (to appear).
Mathematical Reviews (MathSciNet): MR238893
217. A. V. Roĭter, On the theory of integral representations of rings, Mat. Zametki 3 (1968), 361-366. (Russian) MR 38 #187.
Zentralblatt MATH: 0189.03902
Mathematical Reviews (MathSciNet): MR231859
218. J. Rotman, Homological algebra, Van Nostrand, Princeton, N. J., 1970.
Mathematical Reviews (MathSciNet): MR409590
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219. V. P. Rud'ko, On the integral representation algebra of a cyclic group of order p2, Dopovīdī Akad. Nauk Ukrain. RSR Ser. A 1967, 35-39. (Ukrainian) MR 35 #268.
Mathematical Reviews (MathSciNet): MR209370
220. A. I. Saksonov, On group rings of finite p-groups over certain integral domains, Dokl. Akad Nauk BSSR 11 (1967), 204-207. (Russian) MR 35 #270.
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221. A. I. Saksonov, Group-algebras of finite groups over a number field, Dokl. Akad. Nauk BSSR 11 (1967), 302-305. MR 35 #1681.
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222. O. F. G. Schilling, The theory of valuations, Math. Surveys, no. 4, Amer. Math. Soc., Providence, R. I., 1950. MR 13, 315.
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Mathematical Reviews (MathSciNet): MR43776
223. H. Schneider and J. Weissglass, Group rings, semigroup rings and their radicals, J. Algebra 5 (1967), 1-15. MR 35 #4317.
Zentralblatt MATH: 0144.25801
Mathematical Reviews (MathSciNet): MR213453
Digital Object Identifier: doi:10.1016/0021-8693(67)90021-X
224. S. K. Sehgal, On the isomorphism of integral group rings. I, II, Canad. J. Math. 21 (1969), 410-413, 1182-1188.
Zentralblatt MATH: 0186.32804
Mathematical Reviews (MathSciNet): MR255706
Digital Object Identifier: doi:10.4153/CJM-1969-044-9
225. C. S. Seshadri, Triviality of vector bundles over the affine space K2, Proc. Nat. Acad. Sci. U. S. A. 44 (1958), 456-458. MR 21 #1318.
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Mathematical Reviews (MathSciNet): MR102527
Digital Object Identifier: doi:10.1073/pnas.44.5.456
226. C. S. Seshadri, Algebraic vector bundles over the product of an affine curve and the affine line, Proc. Amer. Math. Soc. 10 (1959), 670-673. MR 29 #2263.
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Mathematical Reviews (MathSciNet): MR164972
Digital Object Identifier: doi:10.1090/S0002-9939-1959-0164972-1
226a. M. Singer, Invertible powers of ideals over orders in commutative separable algebras, Proc. Cambridge Philos. Soc. (to appear).
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Mathematical Reviews (MathSciNet): MR252378
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227. D. L. Stancl, Multiplication in Grothendieck rings of integral group rings, J. Algebra 7 (1967), 77-90. MR 36 #6476.
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Digital Object Identifier: doi:10.1016/0021-8693(67)90068-3
228. E. Steinitz, Rechteckige Systeme und Moduln in algebraischen Zahlenkörpern. I, II, Math. Ann. 71 (1911), 328-354; 72 (1912), 297-345.
229. J. R. Strooker, Faithfully projective modules and clean algebras, Ph.D. Thesis, University of Utrecht, 1965.
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Mathematical Reviews (MathSciNet): MR217115
230. R. G. Swan, Projective modules over finite groups, Bull. Amer. Math. Soc. 65 (1959), 365-367. MR 22 #5660.
Zentralblatt MATH: 0090.01904
Mathematical Reviews (MathSciNet): MR114842
Digital Object Identifier: doi:10.1090/S0002-9904-1959-10376-1
Project Euclid: euclid.bams/1183523366
231. R. G. Swan, The p-period of a finite group, Illinois J. Math. 4 (1960), 341-346. MR 23 #A188.
Zentralblatt MATH: 0095.02002
Mathematical Reviews (MathSciNet): MR122856
Project Euclid: euclid.ijm/1255456050
232. R. G. Swan, Induced representations and projective modules, Ann. of Math. (2) 71 (1960), 552-578. MR 25 2131.
Zentralblatt MATH: 0104.25102
Mathematical Reviews (MathSciNet): MR138688
Digital Object Identifier: doi:10.2307/1969944
233. R. G. Swan, Projective modules over group rings and maximal orders, Ann. of Math. (2) 76 (1962), 55-61. MR 25 #3066.
Zentralblatt MATH: 0112.02702
Mathematical Reviews (MathSciNet): MR139635
Digital Object Identifier: doi:10.2307/1970264
234. R. G. Swan, The Grothendieck ring of a finite group, Topology 2 (1963), 85-110. MR 27 #3683.
Zentralblatt MATH: 0119.02905
Mathematical Reviews (MathSciNet): MR153722
Digital Object Identifier: doi:10.1016/0040-9383(63)90025-9
235. R. G. Swan, Algebraic K-theory, Springer Lecture Notes, Berlin, 1968.
Zentralblatt MATH: 0193.34601
Mathematical Reviews (MathSciNet): MR245634
236. R. G. Swan, Invariant rational functions and a problem of Steenrod, Invent. Math. 7 (1969), 148-158.
Zentralblatt MATH: 0186.07601
Mathematical Reviews (MathSciNet): MR244215
Digital Object Identifier: doi:10.1007/BF01389798
237. R. G. Swan, The number of generators of a module, Math. Z. 102 (1967), 318-322. MR 36 #1434.
Zentralblatt MATH: 0156.27403
Mathematical Reviews (MathSciNet): MR218347
Digital Object Identifier: doi:10.1007/BF01110912
238. S. Takahashi, Arithmetic of group representations, Tôhoku Math. J. (2) 11 (1959), 216-246. MR 22 #733.
Zentralblatt MATH: 0089.25103
Mathematical Reviews (MathSciNet): MR109848
Digital Object Identifier: doi:10.2748/tmj/1178244583
Project Euclid: euclid.tmj/1178244583
239. S. Takahashi, A characterization of group rings as a special class of Hopf algebras, Canad. Math. Bull. 8 (1965), 465-475. MR 32 #2459.
Zentralblatt MATH: 0143.26705
Mathematical Reviews (MathSciNet): MR184988
Digital Object Identifier: doi:10.4153/CMB-1965-033-5
240. O. Taussky, On a theorem of Latimer and MacDuffee, Canad. J. Math. 1 (1949), 300-302. MR 11, 3.
Zentralblatt MATH: 0045.15404
Mathematical Reviews (MathSciNet): MR30491
Digital Object Identifier: doi:10.4153/CJM-1949-026-1
241. O. Taussky, Classes of matrices and quadratic fields, Pacific J. Math. 1 (1951), 127-132. MR 13, 201.
Zentralblatt MATH: 0045.16203
Mathematical Reviews (MathSciNet): MR43064
Project Euclid: euclid.pjm/1102613159
242. O. Taussky, Classes of matrices and quadratic fields. II, J. London Math. Soc. 27 (1952), 237-239. MR 13, 717.
Zentralblatt MATH: 0049.16201
Mathematical Reviews (MathSciNet): MR46335
Digital Object Identifier: doi:10.1112/jlms/s1-27.2.237
243. O. Taussky, Unimodular integral circulants, Math. Z. 63 (1955), 286-289. MR 17, 347.
Zentralblatt MATH: 0068.26602
Mathematical Reviews (MathSciNet): MR72890
Digital Object Identifier: doi:10.1007/BF01187938
244. O. Taussky, On matrix classes corresponding to an ideal and its inverse, Illinois J. Math. 1 (1957), 108-113. MR 20 #845.
Zentralblatt MATH: 0078.02903
Mathematical Reviews (MathSciNet): MR94326
Project Euclid: euclid.ijm/1255378509
245. O. Taussky, Matrices of rational integers, Bull. Amer. Math. Soc. 66 (1960), 327-345. MR 22 #10994.
Zentralblatt MATH: 0098.03701
Mathematical Reviews (MathSciNet): MR120237
Digital Object Identifier: doi:10.1090/S0002-9904-1960-10439-9
Project Euclid: euclid.bams/1183523684
246. O. Taussky, Ideal matrices. I, Arch. Math. 13 (1962), 275-282. MR 27 #168.
Zentralblatt MATH: 0118.27504
Mathematical Reviews (MathSciNet): MR150165
247. O. Taussky, Ideal matrices. II, Math. Ann. 150 (1963), 218-225. MR 28 #105.
Zentralblatt MATH: 0115.04001
Mathematical Reviews (MathSciNet): MR156862
Digital Object Identifier: doi:10.1007/BF01396991
248. O. Taussky, On the similarity transformation between an integral matrix with irreducible characteristic polynomial and its transpose, Math. Ann. 166 (1966), 60-63. MR 33 #7355.
Zentralblatt MATH: 0156.03602
Mathematical Reviews (MathSciNet): MR199206
Digital Object Identifier: doi:10.1007/BF01361438
249. O. Taussky, The discriminant matrices of an algebraic number field, J. London Math. Soc. 43 (1968), 152-154. MR 37 #4053.
Zentralblatt MATH: 0155.37903
Mathematical Reviews (MathSciNet): MR228473
Digital Object Identifier: doi:10.1112/jlms/s1-43.1.152
250. O. Taussky and J. Todd, Matrices with finite period, Proc. Edinburgh Math. Soc. (2) 6 (1940), 128-134. MR 2, 118.
Mathematical Reviews (MathSciNet): MR2829
Digital Object Identifier: doi:10.1017/S0013091500024627
251. O. Taussky and J. Todd, Matrices of finite period, Proc. Roy. Irish Acad. Sect. A 46 (1941), 113-121. MR 2, 243.
Mathematical Reviews (MathSciNet): MR3607
252. O. Taussky and H. Zassenhaus, On the similarity transformation between a matrix and its transpose, Pacific J. Math. 9 (1959), 893-896. MR 21 #7216.
Zentralblatt MATH: 0087.01501
Mathematical Reviews (MathSciNet): MR108500
Project Euclid: euclid.pjm/1103039127
253. John G. Thompson, Vertices and sources, J. Algebra 6 (1967), 1-6. MR 34 #7677.
Zentralblatt MATH: 0167.29902
Mathematical Reviews (MathSciNet): MR207863
Digital Object Identifier: doi:10.1016/0021-8693(67)90009-9
254. A. Troy, Integral representations of cyclic groups of order p2, Ph.D. Thesis, University of Illinois, Urbana, Ill., 1961.
255. K. Uchida, Remarks on Grothendieck groups, Tôhoku Math. J. (2) 19 (1967), 341-348. MR 37 #2838.
Zentralblatt MATH: 0289.20005
Mathematical Reviews (MathSciNet): MR227253
Digital Object Identifier: doi:10.2748/tmj/1178243284
Project Euclid: euclid.tmj/1178243284
256. S. Ullom, Normal bases in Galois extensions of number fields, Nagoya Math. J. 34 (1969), 153-167.
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Mathematical Reviews (MathSciNet): MR240082
Project Euclid: euclid.nmj/1118797670
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Mathematical Reviews (MathSciNet): MR227210
Project Euclid: euclid.ojm/1200691952
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Project Euclid: euclid.ojm/1200691952
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Mathematical Reviews (MathSciNet): MR230759
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Zentralblatt MATH: 0202.02702
Mathematical Reviews (MathSciNet): MR269757
Digital Object Identifier: doi:10.1090/S0002-9904-1970-12547-2
Project Euclid: euclid.bams/1183532090

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