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Bulletin of the London Mathematical Society 2005 37(1):37-44; doi:10.1112/S0024609304003637
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© London Mathematical Society

Counting Conjugacy Classes

Marcus Du Sautoy

Mathematical Institute 24–29 St Giles, Oxford OX1 4LB, United Kingdom; dusautoy{at}maths.ox.ac.uk

Received 13 March 2003. Revision received 9 December 2003.

This paper proves the rationality of Poincaré series whose coefficients are defined using the number of conjugacy classes in a system of finite groups defined as finite images of linear groups over Zp modulo natural congruence subgroups. 2000 Mathematics Subject Classification 11M41, 20D60.


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