Shared Rough and Quasi-Isometries of Groups

Details Shared Rough and Quasi-Isometries of Groups Shared Rough and Quasi-Isometries of Groups

2010-05-31

arxiv.org/abs/1005.5569v1

Mathematics

Group Theory

16 pages

Scientific paper

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 (\cite{Lochmann_dissertation}).

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