CSS-子群对有限群结构的影响OA
The influence of CSS-subgroups on the structures of finite groups
子群H称为有限群G的CSS-子群,若有K(△)G,使得G=HK,且H∩K在G中SS-拟正规.利用p-可解外p-超可解群、极小非p-幂零群结构及极小阶反例法,考察CSS-子群对有限群结构的影响,给出有限群为p-超可解群与p-幂零群的一些新的判别准则.
A subgroup H was said to be a CSS-subgroup in finite group G if there was a normal subgroup K of G such that G=HK,and H ∩ K was SS-quasinormal in G.The influence of CSS-subgroups on the structures of finite groups was investigated by using the structures of p-solvable out p-supersolvable groups and minimal non-p-nilpotent groups,and the counterexample of minimal order.Several new criteria were given for a finite group as p-supersolvable group orp-nilpotent group.
高建玲;毛月梅;马小箭
山西大同大学 数学与统计学院,山西大同 037009山西大同大学 数学与统计学院,山西大同 037009山西大同大学 数学与统计学院,山西大同 037009
数理科学
CSS-子群p-超可解群p-幂零群极小阶反例
CSS-subgroupsp-supersolvable groupsp-nilpotent groupscounterexample of minimal order
《安徽大学学报（自然科学版）》 2026 (3)
1-6,6
国家自然科学基金面上基金资助项目(12371021)
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