On Formations with Shemetkov Condition

• 来源期刊: 代数集刊（英文版）
• 关键词: group Schmidt group formation composition formation
• 年，卷（期）: 2002,（1）
• 页码范围: 89-98
• 页数: 10页
• 语种: 英文

摘要

A subgroup-closed formation F is called a formation with Shemetkov condition if every minimal non-F-group is either a group of prime order or a Schmidt group. In this paper, we give a necessary and sufficient condition for formations with Shemetkov condition. From this, some known important results follow.