Bijective Quasi-Isometries of Amenable Groups

Details Bijective Quasi-Isometries of Amenable Groups Bijective Quasi-Isometries of Amenable Groups

2004-04-06

arxiv.org/abs/math/0404115v1

Mathematics

Group Theory

8 pages, 1 figure

Scientific paper

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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