Shared Rough and Quasi-Isometries of Groups

2010/05/31 by Lochmann, Andreas
#20F65 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1005.5569

Abstract

We present a variation of quasi-isometry to approach the problem of defining a geometric notion equivalent to commensurability. In short, this variation can be summarized as "quasi-isometry with uniform parameters for a large enough family of generating systems". Two similar notions (using isometries and rough isometries instead, respectively) are presented alongside. This article is based mainly on a chapter of the author's doctoral thesis (\citeLochmann_dissertation).

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