The conjugacy ratio of groups
Group Theory
2019-07-10 v1
Abstract
In this paper we introduce and study the conjugacy ratio of a finitely generated group, which is the limit at infinity of the quotient of the conjugacy and standard growth functions. We conjecture that the conjugacy ratio is for all groups except the virtually abelian ones, and confirm this conjecture for certain residually finite groups of subexponential growth, hyperbolic groups, right-angled Artin groups, and the lamplighter group.
Cite
@article{arxiv.1709.02152,
title = {The conjugacy ratio of groups},
author = {Laura Ciobanu and Charles Garnet Cox and Armando Martino},
journal= {arXiv preprint arXiv:1709.02152},
year = {2019}
}
Comments
15 pages