Bulletin of the Australian Mathematical Society

Research Article

Numbers of conjugacy classes in some finite classical groups

I.G. Macdonalda1

a1 Department of Pure Mathematics, Queen Mary College, University of London, Mile End Road, London EI4NS, England.


In this paper we calculate the number of congugacy classes in the following finite classical groups: GLn(Fq); PGLn(Fq), SLn(Fq), and more generally G(Fq), where G is any algebraic group isogenous to SLn; PSLn(Fq); S0004972700006882_inline1; S0004972700006882_inline2, S0004972700006882_inline3, and more generally S0004972700006882_inline4 where G is any group isogenous to SUn over Fq; and S0004972700006882_inline5.

(Received July 25 1980)