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On conjugacy growth of linear groups†
Published online by Cambridge University Press: 31 October 2012
Abstract
We investigate the conjugacy growth of finitely generated linear groups. We show that finitely generated non-virtually-solvable subgroups of GLd 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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 2 , March 2013 , pp. 261 - 277
- Copyright
- Copyright © Cambridge Philosophical Society 2012
Footnotes
The authors are grateful for grants from the ERC and the NSF.
References
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