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Divisibility results on the number of conjugacy classes in finite groups

✍ Scribed by Jason Fulman

Publisher
Springer
Year
1996
Tongue
English
Weight
269 KB
Volume
67
Category
Article
ISSN
0003-889X

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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