数学杂志2026，Vol.46Issue(2)：63-74,12.
有限群某些子群的局部SS-拟正规性
LOCAL SS-QUASINORMALITY OF SOME SUBGROUPS OF FINITE GROUPS
摘要
Abstract
This paper investigates the influence of local SS-quasinormal maximal subgroups of Sylow subgroups on the structure of finite groups.We present several new criteria on p-nilpotency of finite groups by utilizing a small quantity of local SS-quasinormal maximal subgroups of Sylow p-subgroups.As applications,we obtain some sufficient conditions for a finite group to be in a saturated formation containing the class of supersolvable groups.关键词
有限群/极大子群/p-幂零群/SS-拟正规子群Key words
finite group/maximal subgroup/p-nilpotent group/SS-quasinormal group分类
数理科学引用本文复制引用
韦华全,吴辉,何家文..有限群某些子群的局部SS-拟正规性[J].数学杂志,2026,46(2):63-74,12.基金项目
Supported by NSF of China(12061011)and NSF of Guangxi(2023GXN-SFAA026333). （12061011）
