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Examples of Poincaré duality groups
Author:
Geoffrey Mess
Journal:
Proc. Amer. Math. Soc. 110 (1990), 1145-1146
MSC:
Primary 20J99; Secondary 57P10, 57S30
MathSciNet review:
1019274
Full-text PDF Free Access
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Additional Information
Abstract: A closed aspherical manifold may have a fundamental group which is not residually finite and contains infinitely divisible elements.
- [B]
Kenneth
S. Brown, Buildings, Springer-Verlag, New York, 1989. MR 969123
(90e:20001)
- [BS]
Gilbert
Baumslag and Donald
Solitar, Some two-generator one-relator
non-Hopfian groups, Bull. Amer. Math. Soc.
68 (1962),
199–201. MR 0142635
(26 #204), http://dx.doi.org/10.1090/S0002-9904-1962-10745-9
- [D]
Michael
W. Davis, Groups generated by reflections and aspherical manifolds
not covered by Euclidean space, Ann. of Math. (2) 117
(1983), no. 2, 293–324. MR 690848
(86d:57025), http://dx.doi.org/10.2307/2007079
- [G]
S. M. Gersten, Dehn functions and
-norm of group presentations, preprint, MSRI, 1989.
- [LS]
Roger
C. Lyndon and Paul
E. Schupp, Combinatorial group theory, Classics in
Mathematics, Springer-Verlag, Berlin, 2001. Reprint of the 1977 edition. MR 1812024
(2001i:20064)
- [B]
- K. Brown, Buildings, Springer-Verlag, New York, 1988. MR 969123 (90e:20001)
- [BS]
- G. Baumslag and D. Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc. 68 (1962), 199-201. MR 0142635 (26:204)
- [D]
- M. W. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. 117 (1983), 293-324. MR 690848 (86d:57025)
- [G]
- S. M. Gersten, Dehn functions and
-norm of group presentations, preprint, MSRI, 1989.
- [LS]
- R. Lyndon and P. Schupp, Combinatorial group theory, Springer-Verlag, New York, 1978. MR 1812024 (2001i:20064)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1990-1019274-5
PII:
S 0002-9939(1990)1019274-5
Article copyright:
© Copyright 1990 American Mathematical Society
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