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Thick groups have trivial Floyd boundary


Author: Ivan Levcovitz
Journal: Proc. Amer. Math. Soc. 148 (2020), 513-521
MSC (2010): Primary 20F65; Secondary 57M07
DOI: https://doi.org/10.1090/proc/14745
Published electronically: August 28, 2019
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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

DOI: https://doi.org/10.1090/proc/14745
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
Article copyright: © Copyright 2019 American Mathematical Society