Hyperbolic diagram groups are free
Group Theory
2015-05-11 v1
Abstract
In this paper, we study the so-called diagram groups. Our main result is that diagram groups are free if and only if they do not contain any subgroup isomorphic to . As an immediate corollary, we get that hyperbolic diagram groups are necessarily free, answering a question of Guba and Sapir.
Keywords
Cite
@article{arxiv.1505.02053,
title = {Hyperbolic diagram groups are free},
author = {Anthony Genevois},
journal= {arXiv preprint arXiv:1505.02053},
year = {2015}
}
Comments
17 pages, 9 figures