Bijective Quasi-Isometries of Amenable Groups
Group Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0404115,
title = {Bijective Quasi-Isometries of Amenable Groups},
author = {Tullia Dymarz},
journal= {arXiv preprint arXiv:math/0404115},
year = {2007}
}
Comments
8 pages, 1 figure