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The number of conjugacy classes in a finite group

✍ Scribed by Patrick X. Gallagher

Publisher
Springer-Verlag
Year
1970
Tongue
French
Weight
220 KB
Volume
118
Category
Article
ISSN
0025-5874

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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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✍ Martin W. Liebeck; LΓ‘szlΓ³ Pyber πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 315 KB

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