On conjugacy growth of linear groups
Group Theory
2013-10-17 v1
Abstract
We investigate the conjugacy growth of finitely generated linear groups. We show that finitely generated non-virtually-solvable subgroups of GL_d have uniform exponential conjugacy growth and in fact that the number of distinct polynomials arising as characteristic polynomials of the elements of the ball of radius n for the word metric has exponential growth rate bounded away from 0 in terms of the dimension d only.
Cite
@article{arxiv.1106.4773,
title = {On conjugacy growth of linear groups},
author = {Emmanuel Breuillard and Yves de Cornulier and Alexander Lubotzky and Chen Meiri},
journal= {arXiv preprint arXiv:1106.4773},
year = {2013}
}
Comments
21 pages