Bijective Quasi-Isometries of Amenable Groups

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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.
8 pages, 1 figure

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Group Theory, 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/70760

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404115
 http://arxiv.org/abs/math/0404115

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arXiv