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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Quasi-flats in semihyperbolic groups


Author: P. Papasoglu
Journal: Proc. Amer. Math. Soc. 126 (1998), 1267-1273
MSC (1991): Primary 20F32
MathSciNet review: 1459144
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Abstract: We prove that the Cayley graph of a group which is semihyperbolic but not hyperbolic contains a subset quasi-isometric to $\mathbb{R}^{2} $.


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Additional Information

P. Papasoglu
Affiliation: Department of Mathematics, University of Paris-Sud, Bat 425, Orsay, France
Email: panos@matups.matups.fr

DOI: http://dx.doi.org/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
Article copyright: © Copyright 1998 American Mathematical Society