Right orderable groups that are not locally indicable.
George M. Bergman
Source: Pacific J. Math. Volume 147, Number 2 (1991), 243-248.
Primary Subjects: 20F60
Secondary Subjects: 06F15
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102644908
Zentralblatt MATH identifier:
0712.06012
Zentralblatt MATH identifier:
0677.06007
Mathematical Reviews number (MathSciNet):
MR1084707
References
[I] The Black Swamp Problem Book, an ongoing notebook of questions on ordered groups. Copies available from W. Charles Holland (Bowling Green State Uni- versity), Keeper of the Book.
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Mathematical Reviews (MathSciNet):
MR91j:06035
Zentralblatt MATH:
0666.06012
[3] George M. Bergman, Notes on orderableand right-orderable groups (addenda to "Ordering co- products of groups and semigroups"), unpublished note, available from the author.
[4] Roberta Botto Mura and Akbar H. Rhemtulla, Orderable Groups,Dekker Lec- ture Notes in Pure and Appl. Math., v. 27, 1977. MR 58 #10652.
Mathematical Reviews (MathSciNet):
MR58:10652
Zentralblatt MATH:
0452.06011
[5] Joel Lee Brenner, Quelques groupes libres de matrices, C. R. Acad. Sci. Paris, 241 (1955), 1689-1691. MR 17, p. 824.
Mathematical Reviews (MathSciNet):
MR17:824f
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0065.25402
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Mathematical Reviews (MathSciNet):
MR88m:20110
Zentralblatt MATH:
0617.20020
[7] Etienne Ghys et Vlad Sergiescu, Sur un grouperemarquablede diffeomorphismes du cercle,Commentarii Math. Helvet., 62 (1987) 185-239.
Mathematical Reviews (MathSciNet):
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[8] James Howie, On locally indicable groups, Math. Zeitschr., 180 (1982), 445- 451.
Mathematical Reviews (MathSciNet):
MR84b:20036
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0471.20017
[9] Ali I. Kokorin and Valerij M. Kopytov, Linearly Ordered Groups (Russian), Nauka, Moscow, 1972. Translated as Fully OrderedGroups,Halsted Press, NY, 1974.
Mathematical Reviews (MathSciNet):
MR50:12852
[10] Roger Lyndon and Paul Schupp, Combinatorial Group Theory, Ergebnisse der Mathematik, vol. 89, Springer-Verlag, 1977.
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[II] Lee Paul Neuwirth, Trivial knots with arbitraryprojection, J. Australian Math. Soc, 7(1967), 481-489.
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MR36:3337
Zentralblatt MATH:
0163.18102
Pacific Journal of Mathematics
