Conjugacy classes of derangements in finite transitive groups

被引：3
作者：
Guralnick, Robert M. [1 ]
机构：
[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2016年 / 292卷 / 01期
关键词：
POINT FREE ELEMENTS; PERMUTATION GROUP; BRAUER GROUPS; NUMBER; BOUNDS;
D O I：
10.1134/S0081543816010077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a permutation group acting transitively on a finite set Omega. We classify all such (G, Omega) when G contains a single conjugacy class of derangements. This was done under the assumption that G acts primitively by Burness and Tong-Viet. It turns out that there are no imprimitive examples. We also discuss some results on the proportion of conjugacy classes which consist of derangements.
引用
收藏
页码：112 / 117
页数：6
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