Finite groups all of whose second maximal subgroups are H-p-groups

作者:Zhong, Xianggui*; Lu, Jiakuan; Li, Yonggang
来源:Monatshefte fur Mathematik, 2013, 172(3-4): 477-486.
DOI:10.1007/s00605-013-0478-1

摘要

Let be a finite group. A subgroup of is called an -subgroup of if for all . A group is said to be an -group if every cyclic subgroup of of prime order or order 4 is an -subgroup of . In this paper, the structure of a finite group all of whose second maximal subgroups are -subgroups has been characterized.