Growth in product replacement graphs
Group Theory
2014-08-04 v2 Combinatorics
Abstract
We prove the exponential growth of product replacement graphs for a large class of groups. Much of our effort is dedicated to the study of product replacement graphs of Grigorchuk groups, where the problem is most difficult.
Keywords
Cite
@article{arxiv.1304.5320,
title = {Growth in product replacement graphs},
author = {Anton Malyshev and Igor Pak},
journal= {arXiv preprint arXiv:1304.5320},
year = {2014}
}
Comments
16 pages; revised version, accepted to Journal of Group Theory