Lawther, Ross and Liebeck, Martin W. and Seitz, Gary M. (2002) Fixed point ratios in actions of finite exceptional groups of lie type. Pacific Journal of Mathematics, 205 (2). pp. 393-464. ISSN 0030-8730
Full text not available from this repository.Abstract
Let G be a finite exceptional group of Lie type acting transitively on a set Ø. For x in G, the fixed point ratio of x is the proportion of elements of Ø which are fixed by x. We obtain new bounds for such fixed point ratios. When a point-stabilizer is parabolic we use character theory; and in other cases, we use results on an analogous problem for algebraic groups in Lawther, Liebeck & Seitz, 2002. These give dimension bounds on fixed point spaces of elements of exceptional algebraic groups, which we apply by passing to finite groups via a Frobenius morphism.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Pacific Journal of Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 19279 |
| Deposited By: | ep_ss_importer |
| Deposited On: | 19 Nov 2008 16:58 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 15:27 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/19279 |
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