On growth and torsion of groups
Group Theory
2016-06-28 v1
Abstract
We give a subexponential upper bound and a superpolynomial lower bound on the growth function of the Fabrykowski-Gupta group. As a consequence, we answer negatively a question by Longobardi, Maj and Rhemtulla about characterizing groups containing no free subsemigroups on two generators.
Keywords
Cite
@article{arxiv.0712.4005,
title = {On growth and torsion of groups},
author = {Laurent Bartholdi and Floriane Pochon},
journal= {arXiv preprint arXiv:0712.4005},
year = {2016}
}
Comments
10 pages