On Conjugate-Permutable Subgroups of a Finite Group

• 来源期刊: 代数集刊（英文版）
• 关键词: conjugate-permutable subgroup ECP-group CCP-group nilpotent group minimal non-nilpotent group
• 年，卷（期）: 2005,（4）
• 页码范围: 669-676
• 页数: 8页
• 语种: 英文

摘要

Let G be a finite group. A subgroup H of G is called conjugate-permutable in G if HHg = HgH for any g ∈ G. A group G is called an ECP-group if every subgroup of G is conjugate-permutable in G. In this paper, we study the influence of conjugatepermutable subgroups on the structure of a finite group, especially on the nilpotency or supersolvability of the group, and give some sufficient or necessary conditions for a finite group to be an ECP-group.