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Lengths of Conjugacy Classes of Finite Solvable Groups, II

✍ Scribed by P.A. Ferguson


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
172 KB
Volume
154
Category
Article
ISSN
0021-8693

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For a finite group G, let k G denote the number of conjugacy classes of G. We prove that a simple group of Lie type of untwisted rank l over the field of q Ε½ . l elements has at most 6 q conjugacy classes. Using this estimate we show that for Ε½ . Ε½ . 10 n completely reducible subgroups G of GL n, q