Permutation groups and derangements of odd prime order

被引：3

作者：

Burness, Timothy C. ^{[1
]}

Giudici, Michael ^{[2
]}

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[2] Univ Western Australia, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009, Australia

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2017年 / 151卷

基金：

澳大利亚研究理事会;

关键词：

Derangement; Elusive group; Quasiprimitive group; Biquasiprimitive group; Arc-transitive graph; THEOREM; GRAPHS;

D O I：

10.1016/j.jcta.2017.04.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a transitive permutation group of degree n. We say that G is 2'-elusive if n is divisible by an odd prime, but G does not contain a derangement of odd prime order. In this paper we study the structure of quasiprimitive and biquasiprimitive 2'-elusive permutation groups, extending earlier work of Giudici and Xu on elusive groups. As an application, we use our results to investigate automorphisms of finite arc-transitive graphs of prime valency. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：102 / 130

页数：29

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