A measuring argument for finite permutation groups

被引：0

作者：

Avi Goren

机构：

[1] Tel Aviv University,School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences

来源：

Israel Journal of Mathematics | 2005年 / 145卷

关键词：

Finite Group; Simple Group; Nonempty Subset; Permutation Group; Transitive Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

LetG be a finite transitive permutation group on a finite setS. LetA be a nonempty subset ofS and denote the pointwise stabilizer ofA inG byCG(A). Our main result is the following inequality: [G :CG(A)]≥|G||A|/|S|.

引用

页码：333 / 339

页数：6

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