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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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