descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 12 Sep 2016Embargo end date: 01 Jan 2015 English Publisher:Mathematical Sciences PublishersJournal:Algebraic & Geometric Topology, volume 16, pages 2,143-2,158 (issn: 1472-2747, eissn: 1472-2739,

Authors: Osborne, Jeremy; Yang, Wen-yuan;

doi: 10.2140/agt.2016.16.2143 , 10.48550/arxiv.1504.01011

arXiv: http://arxiv.org/abs/1504.01011

Statistical hyperbolicity of relatively hyperbolic groups

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Abstract

We prove that a non-elementary relatively hyperbolic group is statistically hyperbolic with respect to every finite generating set. We also establish statistical hyperbolicity for certain direct products of two groups, one of which is relatively hyperbolic.

12 pages; Several corrections and improvements on the exposition after referee report. Version to appear in Algebraic and Geometric Topology

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Keywords

Hyperbolic, Relatively hyperbolic groups, 20F67, Statistical hyperbolicity, Group Theory (math.GR), Relatively Hyperbolic, Growth function, FOS: Mathematics, Primary 20F65, 20F67, Statistically Hyperbolic, Group, 20F65, Mathematics - Group Theory, Mathematics

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