|
Quasi-flats in semihyperbolic groups
Author(s):
P.
Papasoglu
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1267-1273.
MSC (1991):
Primary 20F32
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We prove that the Cayley graph of a group which is semihyperbolic but not hyperbolic contains a subset quasi-isometric to .
References:
- [A-B]
- J.Alonso, M.Bridson, Semihyperbolic groups, Proc. London Math. Soc. (3) 70 (1995), 56-114. MR 95j:20033
- [Br]
- M.Bridson, On the existence of flat planes in spaces of non-positive curvature, Proc. Amer. Math. Soc. 123 (1995), 223-235. MR 95d:53048
- [Eb]
- P.Eberlein, Geodesic flow in certain manifolds without conjugate points, Trans. AMS,167, pp. 151-170, 1972. MR 45:4453
- [Ep]
- D.Epstein, Word Processing in Groups, Jones and Bartlett, Boston, 1992. MR 93i:20036
- [Gr]
- M.Gromov, Hyperbolic groups, in Essays in Group Theory, ed. by S.M.Gersten, MSRI publ., vol.8, Springer Verlag, 1987, pp. 75-263. MR 89e:20070
- [G-S]
- S.M.Gersten, H.Short, Rational subgroups of biautomatic groups, Annals of Math. 134, 1991, pp. 125-158. MR 92g:20092
- [L-S]
- R.Lyndon, P. Schupp, Combinatorial group theory, Springer Verlag, 1977. MR 58:28182
- [M-O]
- L.Mosher, U.Oertel, Spaces which are not negatively curved,, preprint, Rutgers University.
- [P]
- P.Papasoglu, Strongly geodesically automatic groups are hyperbolic, Inventiones Mathematicae, 121 (1995), 323-334. MR 96h:20073
- [S]
- H.Short, Groups and combings, preprint ENS Lyon.
- [Sc]
- V.Schroeder On the fundamental group of a visibility manifold, Math.Z. 192, pp. 347-351, 1986. MR 87i:53062
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
20F32
Retrieve articles in all Journals with MSC
(1991):
20F32
Additional Information:
P.
Papasoglu
Affiliation:
Department of Mathematics, University of Paris-Sud, Bat 425, Orsay, France
Email:
panos@matups.matups.fr
DOI:
10.1090/S0002-9939-98-04467-0
PII:
S 0002-9939(98)04467-0
Received by editor(s):
November 28, 1995
Received by editor(s) in revised form:
October 15, 1996
Communicated by:
James West
Copyright of article:
Copyright
1998,
American Mathematical Society
|