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On the number of conjugacy classes of the sylow p-subgroups of GL(n,q)
Published online by Cambridge University Press: 17 April 2009
Abstract
If G is a finite p-group of order pn, P. Hall determined the number of conjugacy classes of G, r(G), modulo (p2 − 1)(p − 1). Namely, he proved the existence of a constant k ≥ 0 such that r(G) = n(p2 − 1) + pe + k(p2 − 1)(p − 1). In this paper, we denote by the group of the upper unitriangular matrices over
, the finite field with q = pt elements, and we determine the number of classes of
modulo (q − 1)5.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 52 , Issue 3 , December 1995 , pp. 431 - 439
- Copyright
- Copyright © Australian Mathematical Society 1995
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