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Intersection of Conjugacy Classes of Chevalley Groups with Gauss Cells

โœ Scribed by Erich W. Ellers; Nikolai Gordeev


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
168 KB
Volume
220
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


Let G be a proper Chevalley group or a finite twisted Chevalley group. We give some description of the intersections of noncentral conjugacy classes of G with certain Gauss cells, which we call Coxeter cells. This generalizes previous results of the authors (Comm.


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Let ฮฝ G denote the number of conjugacy classes of non-normal subgroups of a group G We prove that if G is a finite group and ฮฝ G = 0 then there is a cyclic subgroup C of prime power order contained in the centre of G such that the order of G/C is a product of at most ฮฝ G + 1 primes. We also obtain a