ON REGULAR ORBITS OF ELEMENTS OF CLASSICAL GROUPS IN THEIR PERMUTATION REPRESENTATIONS

被引：11

作者：

Emmett, L. ^{[1
]}

Zalesski, A. E. ^{[1
]}

机构：

[1] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 09期

关键词：

Classical groups; Permutation groups; Regular orbits; LINEAR-GROUPS; SUBGROUPS; ORDER;

D O I：

10.1080/00927872.2010.505936

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a simple finite classical group not isomorphic to PSL(n, q) for any n, q. We prove that every cyclic subgroup of H has a regular orbit on every nontrivial permutation H-set.

引用

页码：3356 / 3409

页数：54

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