The covering number of $M_{24}$

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Michael Epstein¹  Spyros S. Magliveras¹ 

[1] Department of Mathematical Sciences, FloridaAtlantic University

关键词: Group theory;    Group coverings;    Finite simple groups;   

DOI  :  10.13069/jacodesmath.90728

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

A finite cover C of a group G is a finite collection of proper subgroups of G such that G is equal tothe union of all of the members of C. Such a cover is called minimal if it has the smallest cardinalityamong all finite covers of G. The covering number of G, denoted by σ(G), is the number of subgroupsin a minimal cover of G. In this paper the covering number of the Mathieu group M24 is shown tobe 3336.

【 授权许可】

CC BY