A GENERALIZATION OF COVER-AVOIDING PROPERTIES IN FINITE GROUPS

作者：Li, Shirong; Liu, Jianjun^*

来源：Communications in Algebra, 2011, 39(4): 1455-1464.

DOI：10.1080/00927871003738972

• CAP*-subgroups
• Cover-avoiding properties
• Non-Frattini chief factors
• Saturated formations

A subgroup H of a group G is called a CAP*-subgroup of G, if H either covers or avoids every non-Frattini chief factor of G. In this article, we give some interesting properties of CAP*-subgroups. Furthermore, we determine the structure of finite groups based on the assumption that some subgroups are CAP*-subgroups and generalize some known results.

• 出版日期2011
• 单位广西大学; 西南大学; 上海大学