Let G be one of the simple groups A or PSL q where q is the power of a n n prime r. Let p be a prime number dividing the order of G. It is proved that if G has a p-Steinberg character, then G is isomorphic to a semi-simple group of Lie type in characteristic p.
p-Steinberg Characters of Finite Simple Groups
โ Scribed by Pham Huu Tiep
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 215 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
Let G be a finite group and p a prime divisor of
conjecture of W. Feit states that if a finite simple group G has a p-Steinberg character then G is a finite simple group of Lie type in characteristic p. In this paper we prove this conjecture, using the classification of finite simple groups.
๐ SIMILAR VOLUMES
ยจ545
For each finite simple group G there is a conjugacy class C such that each G nontrivial element of G generates G together with any of more than 1r10 of the members of C . Precise asymptotic results are obtained for the probability implicit G in this assertion. Similar results are obtained for almost