西北师范大学学报（自然科学版）2024，Vol.60Issue(2)：1-5,5.DOI:10.16783/j.cnki.nwnuz.2024.02.001
SS-拟正规子群对有限群p-超可解性的影响
Influence of SS-quasinormal subgroups on the p-supersolvability of finite groups
摘要
Abstract
Let G be a finite group.A subgroup H is said to be SS-quasinormal in G if there is a subgroup B of G such that G=HB,and H permutes with any Sylow p-subgroup of B for arbitrary prime p ∈π(B).The structures of finite groups with SS-quasinormality of some p-subgroups are discussed by using counterexample of minimal order,and several sufficient conditions of p-supersolvable groups are obtained,which generalize some known results of p-supersolvability.关键词
p-子群/SS-拟正规子群/p-超可解群/极小阶反例Key words
p-subgroup/SS-quasinormal subgroup/p-supersolvable group/counterexample of minimal order分类
数理科学引用本文复制引用
高建玲,毛月梅,曹陈辰..SS-拟正规子群对有限群p-超可解性的影响[J].西北师范大学学报（自然科学版）,2024,60(2):1-5,5.基金项目
国家自然科学基金资助项目(12101339,12371021) （12101339,12371021）
山西大同大学科研基金资助项目(2020K8) （2020K8）
