关于有限群的p-幂零性  

On p-nilpotency of finite groups

作　　者：唐娜[1] 

机构地区：[1]淮阴师范学院数学科学学院,江苏淮安223300

出　　处：《安徽大学学报（自然科学版）》2017年第1期43-46,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11471138);江苏省高校自然科学基金资助项目(15KJB110002)

摘　　要：令H是G的子群.若存在G的子群T使得G等于H与T的乘积,且H与T的交集小于等于HSE,且HSE是G的所有s-拟正规嵌入子群生成的H的子群,称H在G中λ-可补.通过假定群G的一些特定子群在G中λ-可补来刻画G的p-幂零性,一些已知结果被推广.Let H be a subgroup of G. H is said to be A-supplemented in G if G has a subgroup T such that G is equal to HT and the intersection of H and T is no more than HsE, which HsE denotes the subgroup of H generated by all s-quasinormally embedded in G. In this paper, we proved that a finite group G was p-nilpotent by assuming some sub-groups of G were A-supplemented in G and the known results were generalized.

关 键 词：λ-可补子群 P-幂零群 SYLOW子群 s-拟正规嵌入子群 可补子群 

分 类 号：O152.1[理学—数学]