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有限p幂零群的新刻画

Some new characterizations of p-nilpotency of finite groups
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摘要 利用有限群G的某些p阶子群或者p^2阶子群的弱■可补性质,刻画有限群的结构,给出p幂零群的新刻画. Let G be a finite group.In this paper,the structure of G under the assumption that some subgroups of order p or p^2 of G are weakly s-supplemented in G is studied.Some new characterizations of p-nilpotency of finite groups are obtained.
作者 谢凤艳 Xie Fengyan(School of Civil Engineering & Architecture,University of Anyang,Anyang 455000,He'nan,China)
出处 《江苏师范大学学报(自然科学版)》 CAS 2019年第1期43-45,共3页 Journal of Jiangsu Normal University:Natural Science Edition
基金 河南省高等学校青年骨干教师培养计划(2016GGJS-204)
关键词 有限群 p幂零群 弱■可补子群 广义Fittingp子群 finite group p-nilpotent group weakly ■-supplemented subgroup generalized p-Fitting subgroup
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