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A class of finitely generated groups with irrational translation numbers

โœ Scribed by Gregory R. Conner


Publisher
Springer
Year
1997
Tongue
English
Weight
198 KB
Volume
69
Category
Article
ISSN
0003-889X

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Upper Bounds for the Number of Conjugacy
โœ Martin W. Liebeck; Lรกszlรณ Pyber ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ลฝ . l elements has at most 6 q conjugacy classes. Using this estimate we show that for ลฝ . ลฝ . 10 n completely reducible subgroups G of GL n, q