On Cayley graphs of virtually free groups
Group Theory
2013-05-30 v2
Abstract
In 1985, Dunwoody showed that finitely presentable groups are accessible. Dunwoody's result was used to show that context-free groups, groups quasi-isometric to trees or finitely presentable groups of asymptotic dimension 1 are virtually free. Using another theorem of Dunwoody of 1979, we study when a group is virtually free in terms of its Cayley graph and we obtain new proofs of the mentioned results and other previously depending on them.
Keywords
Cite
@article{arxiv.0911.2177,
title = {On Cayley graphs of virtually free groups},
author = {Yago Antolin},
journal= {arXiv preprint arXiv:0911.2177},
year = {2013}
}