Duality for groups
Saunders MacLane
Source: Bull. Amer. Math. Soc. Volume 56, Number 6
(1950), 485-516.
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183515045
Mathematical Reviews number (MathSciNet): MR0049192
Zentralblatt MATH identifier: 0045.29905
References
1. E. Artin, The free product of groups, Amer. J. Math. vol. 69 (1947) pp. 1-4.
Zentralblatt MATH: 0034.01502
Mathematical Reviews (MathSciNet): MR19612
Digital Object Identifier: doi:10.2307/2371648
2. P. Bernays, A system of axiomatic set theory, Journal of Symbolic Logic, I, vol. 2 (1937) pp. 65-77; II, vol. 6 (1941) pp. 1-17; III, vol. 7 (1942) pp. 65-89; IV, vol. 7 (1942) pp. 133-145; V, vol. 8 (1943) pp. 89-106; VI, vol. 13 (1948) pp. 65-79.
Zentralblatt MATH: 0026.20502
Mathematical Reviews (MathSciNet): MR7731
Digital Object Identifier: doi:10.2307/2268110
3. G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. vol. 31 (1935) pp. 433-454.
4. G. Birkhoff, Universal algebra, Proceedings of the First Canadian Mathematical Congress, Montreal, 1945, pp. 310-326.
Zentralblatt MATH: 0060.06802
Mathematical Reviews (MathSciNet): MR19586
5. G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloquium Publications vol. 25, rev. ed., New York, 1948.
Zentralblatt MATH: 0033.10103
Mathematical Reviews (MathSciNet): MR29876
6. N. Bourbaki, Éléments de mathématique, vol. II, Algèbre, Chap. I. Structures Algébriques, Paris, 1946.
Zentralblatt MATH: 0261.00001
7. S. Eilenberg and S. MacLane, Group extensions and homology, Ann. of Math. vol.43 (1942) pp. 757-831.
Zentralblatt MATH: 0061.40602
Mathematical Reviews (MathSciNet): MR7108
Digital Object Identifier: doi:10.2307/1968966
8. S. Eilenberg and S. MacLane, General theory of natural equivalences, Trans. Amer Math. Soc. vol. 58 (1945) pp. 231-295.
Zentralblatt MATH: 0061.09204
Mathematical Reviews (MathSciNet): MR13131
9. S. Eilenberg and N. E. Steenrod, Axiomatic approach to homology theory, Proc. Nat. Acad. Sci. U. S. A. vol. 31 (1945) pp. 117-120.
Zentralblatt MATH: 0061.40504
Mathematical Reviews (MathSciNet): MR12228
Digital Object Identifier: doi:10.1073/pnas.31.4.117
10. S. Eilenberg and N. E. Steenrod, Foundations of algebraic topology, to appear.
Zentralblatt MATH: 0047.41402
Mathematical Reviews (MathSciNet): MR270366
11. K. Gödel, The consistency of the continuum hypothesis, Annals of Mathematics Studies, no. 3, Princeton, 1940.
Zentralblatt MATH: 0061.00902
Mathematical Reviews (MathSciNet): MR2514
12. P. Hall, A contribution to the theory of groups of prime power order, Proc. London Math. Soc. (2) vol. 36 (1933) pp. 29-95.
Zentralblatt MATH: 0007.29102
13. P. Hall, Verbal and marginal subgroups, Journal für Mathematik vol. 182 (1940) pp. 156-157.
Zentralblatt MATH: 0023.29902
Mathematical Reviews (MathSciNet): MR2876
14. W. Hurewicz, Zu einer Arbeit von O. Schreier, Abh. Math. Sem. Hamburgischen Univ. vol. 8 (1930) pp. 307-314.
15. B. Jónsson and A. Tarski, Direct decomposition of finite algebraic systems, Notre Dame Mathematical Lectures, no. 5, Notre Dame, 1947.
Zentralblatt MATH: 0041.34501
Mathematical Reviews (MathSciNet): MR20543
16. S. MacLane, Groups, categories, and duality, Proc. Nat. Acad. Sci. U.S.A. vol. 34 (1948) pp. 263-267.
Zentralblatt MATH: 0031.24702
Mathematical Reviews (MathSciNet): MR25464
Digital Object Identifier: doi:10.1073/pnas.34.6.263
17. S. MacLane and J. H. C. Whitehead, On the 3-type of a complex, Proc. Nat. Acad., Sci. U.S.A. vol. 36 (1950) pp. 41-47.
Zentralblatt MATH: 0035.39001
Mathematical Reviews (MathSciNet): MR33519
Digital Object Identifier: doi:10.1073/pnas.36.1.41
18. W. Magnus, Allgemeine Gruppentheorie, Enzykopädie der Mathematischen Wissenschaften, 2d ed., vol. I, 1, no. 4, part 1, Leipzig and Berlin, 1939.
19. K. Shoda, Ueber die allgemeinen algebraischen Systemen, Proc. Imp. Acad. Tokyo, I, vol. 17 (1941) pp. 323-327; II, III, IV, vol. 18 (1942) pp. 179-184, 227-232, 276-279; V, VI, VII, vol. 19 (1943) pp. 114-118, 259-263, 515-517; VIII, vol. 20 (1944) pp. 584-588.
Zentralblatt MATH: 0063.06969
Mathematical Reviews (MathSciNet): MR15366
Digital Object Identifier: doi:10.3792/pia/1195578672
20. A. Tarski, Cardinal algebras, Oxford and New York, 1949.
Zentralblatt MATH: 0041.34502
21. B. L. van der Waerden, Free products of groups, Amer. J. Math. vol. 70 (1948) pp. 527-528.
Zentralblatt MATH: 0038.01202
Mathematical Reviews (MathSciNet): MR25465
Digital Object Identifier: doi:10.2307/2372196
22. H. Zassenhaus, Lehrbuch der Gruppentheorie, Leipzig and Berlin, 1937.
Zentralblatt MATH: 0018.00901
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