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On the Number of Conjugacy Classes of a Finite Group

✍ Scribed by L.G. Kovacs; G.R. Robinson

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
838 KB
Volume
160
Category
Article
ISSN
0021-8693

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Let G be a finite group and a set of primes. In this note we will prove Ε½ . two results on the local control of k G, , the number of conjugacy w x classes of -elements in G. Our results will generalize earlier ones in 8 , w x w x 9 , and 3 . Ε½ . Ε½ . In the following, we denote by F F G the poset of

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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