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Bijective Quasi-Isometries of Amenable Groups

Tullia Dymarz
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Abstract

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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Tullia Dymarz. 2004-04-06. Bijective Quasi-Isometries of Amenable Groups. https://arxiv.org/abs/math/0404115

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