Base sizes for sporadic simple groups

被引：0

作者：

Timothy C. Burness

E. A. O’Brien

Robert A. Wilson

机构：

[1] University of Southampton,School of Mathematics

[2] University of Auckland,Department of Mathematics

[3] University of London,School of Mathematical Sciences, Queen Mary

来源：

Israel Journal of Mathematics | 2010年 / 177卷

关键词：

Conjugacy Class; Simple Group; Maximal Subgroup; Permutation Group; Double Coset;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise stabilizer in G is trivial. We write b(G) for the minimal size of a base for G. We determine the precise value of b(G) for every primitive almost simple sporadic group G, with the exception of two cases involving the Baby Monster group. As a corollary, we deduce that b(G) ⩽ 7, with equality if and only if G is the Mathieu group M24 in its natural action on 24 points. This settles a conjecture of Cameron.

引用

页码：307 / 333

页数：26

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