TY - JOUR
T1 - On conjugacy growth of linear groups
AU - Breuillard, Emmanuel
AU - Cornulier, Yves
AU - Lubotzky, Alexander
AU - Meiri, Chen
PY - 2013/3
Y1 - 2013/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84873548473&partnerID=8YFLogxK
U2 - 10.1017/S030500411200059X
DO - 10.1017/S030500411200059X
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AN - SCOPUS:84873548473
SN - 0305-0041
VL - 154
SP - 261
EP - 277
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
IS - 2
ER -