The primitive conjugacy classes and the first homology group of a finite graph
β Scribed by A. M. Nikitin
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 319 KB
- Volume
- 80
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
## Abstract Up to isomorphism, there are only finitely many finite groups with a given number of conjugacy classes. Those with up to twelve classes have already been classified. In this work we extend the classification to thirteen and fourteen classes. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Wei
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