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Fixed point ratios in actions of finite classical groups, II
- Source :
-
Journal of Algebra . Mar2007, Vol. 309 Issue 1, p80-138. 59p. - Publication Year :
- 2007
-
Abstract
- Abstract: This is the second in a series of four papers on fixed point ratios in non-subspace actions of finite classical groups. Our main result states that if G is a finite almost simple classical group and Ω is a faithful transitive non-subspace G-set then either for all elements of prime order, or is one of a small number of known exceptions. In this paper we record a number of preliminary results and prove the main theorem in the case where the stabiliser is contained in a maximal non-subspace subgroup which lies in one of the Aschbacher families , where . [Copyright &y& Elsevier]
- Subjects :
- *FIXED point theory
*GROUP theory
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 309
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 23277718
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.05.025