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A Bound on the Number of Conjugacy Classes of a Finite Soluble Group

✍ Scribed by Cartwright, M.


Book ID
120095749
Publisher
Oxford University Press
Year
1987
Tongue
English
Weight
311 KB
Volume
s2-36
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES


Upper Bounds for the Number of Conjugacy
✍ 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