A Note on the σ-Covers of Finite Soluble Groups

• 来源期刊: 代数集刊（英文版）
• 关键词: σ-cover n-sum group soluble group nilpotent group maximal subgroup
• 年，卷（期）: 2005,（4）
• 页码范围: 691-697
• 页数: 7页
• 语种: 英文

摘要

A cover for a finite group is a set of proper subgroups whose union is the whole group. For a finite group G, we denote by σ(G) the least positive integer n such that G has a cover of size n. This paper deals with the covers of a finite soluble group G having σ(G) elements of maximal subgroups.