Bijective Quasi-Isometries of Amenable Groups
classification
🧮 math.GR
keywords
groupsamenablebijectionboundeddistancebijectivecontrastfinite
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Whyte showed that any quasi-isometry between non-amenable groups is a bounded distance from a bijection. In contrast this paper shows that for amenable groups, inclusion of a proper subgroup of finite index is never a bounded distance from a bijection.
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