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On p-Cover-Avoid and S-Quasinormally Embedded Subgroups in Finite Groups
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摘要:Let G be a finite group,p the smallest prime dividing the order of G and P a Sylow p-subgroup of G.If d is the smallest generator number of P,then there exist maximal subgroups P1,P2,…,Pd of P,denoted by Md(P)= {P1,…,Pd},such that ∩di=1 Pi =(φ)(P),the Frattini subgroup of P.In this paper,we will show that if each member of some fixed Md(P)is either p-cover-avoid or S-quasinormally embedded in G,then G is p-nilpotent.As applications,some further results are obtained.
分类号:
O152.1(代数、数论、组合理论)
在线出版日期:
2010-10-18 (万方平台首次上网日期,不代表论文的发表时间)
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