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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Thick groups have trivial Floyd boundary
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by Ivan Levcovitz PDF
Proc. Amer. Math. Soc. 148 (2020), 513-521 Request permission

Abstract:

We prove that thick groups (and more generally thick graphs) have trivial Floyd boundary. This shows that a wide class of finitely generated groups that are non-relatively hyperbolic have trivial Floyd boundary. In addition to giving new examples, our result provides a common proof and framework for many of the known results in the literature.
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Additional Information
  • Ivan Levcovitz
  • Affiliation: Department of Mathematics, Technion–Israel Institute of Technology, Haifa 3200003, Israel
  • MR Author ID: 1267306
  • Received by editor(s): December 13, 2018
  • Received by editor(s) in revised form: June 4, 2019
  • Published electronically: August 28, 2019
  • Communicated by: David Futer
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 513-521
  • MSC (2010): Primary 20F65; Secondary 57M07
  • DOI: https://doi.org/10.1090/proc/14745
  • MathSciNet review: 4052190