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On conjugacy growth of linear groups

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.

preprint2011arXivOpen access
Emmanuel BreuillardYves de CornulierAlexander LubotzkyChen Meiri
math.GR
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Open access4 authors1 topic
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Emmanuel BreuillardYves de CornulierAlexander LubotzkyChen Meiri

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