Quasi-flats in semihyperbolic groups
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- by P. Papasoglu
- Proc. Amer. Math. Soc. 126 (1998), 1267-1273
- DOI: https://doi.org/10.1090/S0002-9939-98-04467-0
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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 $\mathbb {R}^{2}$.References
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Bibliographic Information
- P. Papasoglu
- Affiliation: Department of Mathematics, University of Paris-Sud, Bat 425, Orsay, France
- Email: panos@matups.matups.fr
- Received by editor(s): November 28, 1995
- Received by editor(s) in revised form: October 15, 1996
- Communicated by: James West
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1267-1273
- MSC (1991): Primary 20F32
- DOI: https://doi.org/10.1090/S0002-9939-98-04467-0
- MathSciNet review: 1459144