Finite simple unisingular groups of Lie type

被引：56

作者：

Guralnick, RM ^{[1
]}

Tiep, PH

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

JOURNAL OF GROUP THEORY | 2003年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1515/jgth.2003.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite simple group of Lie type in characteristic p. We investigate how large the set of p'-elements acting without fixed points on an irreducible G-module in characteristic p can be. This comes up naturally in studying derangements for finite primitive groups and also in a computational group algorithm proposed by Babai and Shalev. We also consider the same problem for algebraic groups.

引用

页码：271 / 310

页数：40

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