Asymptotic Dimension of Finitely Presented Groups
Algebraic Topology
2007-09-02 v1 Algebraic Geometry
Geometric Topology
Abstract
It is proven that if a finitely presented group is one ended it has asymptotic dimension bigger than one. It follows that finitely presented groups with asdim 1 are virtually free. A counterexample is given for the finitely generated case.
Cite
@article{arxiv.math/0610541,
title = {Asymptotic Dimension of Finitely Presented Groups},
author = {Thanos Gentimis},
journal= {arXiv preprint arXiv:math/0610541},
year = {2007}
}
Comments
7 pages,no figures