Transitive permutation groups where nontrivial elements have at most two fixed points

被引：9

作者：

Magaard, Kay ^{[1
]}

Waldecker, Rebecca ^{[2
]}

机构：

[1] Univ Birmingham, Birmingham B15 2TT, W Midlands, England

[2] Univ Halle Wittenberg, D-06099 Halle, Saale, Germany

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2015年 / 219卷 / 04期

关键词：

FINITE-GROUPS; AUTOMORPHISM; ORDER; ODD;

D O I：

10.1016/j.jpaa.2014.04.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by a question on Riemann surfaces, we consider permutation groups that act nonregularly, such that every nontrivial element has at most two fixed points. We describe the permutation groups with these properties and give a complete, detailed classification when the group is simple. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：729 / 759

页数：31

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