The quasi-isometry invariance of commensurizer subgroups

2010/02/05 by Diane M. Vavrichek, Vavrichek, Diane M.
Mathematics · #20F65 (Primary) 20E07 (Secondary) #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E07 #msc:20F65

paper · pdf · doi:10.48550/arxiv.1002.1265

57 pages, no figures

arxiv created 2010/02/05 · arxiv updated 2010/02/26

Abstract

We prove that commensurizers of two-ended subgroups with at least three coends in one-ended, finitely presented groups are invariant under quasi-isometries. We discuss a variety of applications of this result.

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