Lengths of Conjugacy Classes of Finite Solvable Groups, II
β 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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π SIMILAR VOLUMES
Let W be a finite Coxeter group and let F be an automorphism of W that leaves the set of generators of W invariant. We establish certain properties of elements of minimal length in the F-conjugacy classes of W that allow us to define character tables for the corresponding twisted IwahoriαHecke algeb
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