Finite simple unisingular groups of Lie type

被引：57
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
收藏
页码：271 / 310
页数：40
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