安徽大学学报（自然科学版）2026，Vol.50Issue(3)：1-6,6.DOI:10.3969/j.issn.1000-2162.2026.03.001
CSS-子群对有限群结构的影响
The influence of CSS-subgroups on the structures of finite groups
摘要
Abstract
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.关键词
CSS-子群/p-超可解群/p-幂零群/极小阶反例Key words
CSS-subgroups/p-supersolvable groups/p-nilpotent groups/counterexample of minimal order分类
数理科学引用本文复制引用
高建玲,毛月梅,马小箭..CSS-子群对有限群结构的影响[J].安徽大学学报（自然科学版）,2026,50(3):1-6,6.基金项目
国家自然科学基金面上基金资助项目(12371021) （12371021）
