On conjugacy growth of linear groups

Emmanuel Breuillard*, Yves Cornulier, Alexander Lubotzky, Chen Meiri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish
Pages (from-to)261-277
Number of pages17
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume154
Issue number2
DOIs
StatePublished - Mar 2013

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