On conjugacy growth of linear groups

Details On conjugacy growth of linear groups On conjugacy growth of linear groups

2011-06-23

arxiv.org/abs/1106.4773v1

Mathematics

Group Theory

21 pages

Scientific paper

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.

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