典型文献
Finite Groups with p-Supersolvable Normalizers of p-Subgroups
文献摘要：
In the literature,p-nilpotency of the normalizers of p-subgroups has an impor-tant influence on finite p-nilpotent groups.In this paper,we extend the p-nilpotency to p-supersolvability and choose every normal p-subgroups H of P such that |H|=pd and explore p-supersolvability of G by the conditions of weakly M-supplemented properties of H and p-supersolvability of the normalizer NG(H),where 1≤pd＜|P|.Also,we study the p-nilpotency of G under the assumptions that NG(P)is p-nilpotent and the weakly M-supplemented condi-tion on a subgroup K such that Kp(＞)K and P'≤Kp≤Φ(P),Kp is a Sylow p-subgroup K.To some extent,our main results can be regarded as generalizations of the Frobenius theorem.
文献关键词：
中图分类号：
作者姓名：
Tingting QIU;Jinlian WU;Jia ZHANG
作者机构：
Yancheng Biological Engineering Higher Vocational Technology School,Jiangsu 224051,P.R.China;School of Mathematics and Information,China West Normal University,Sichuan 637009,P.R.China
文献出处：
引用格式：
[1]Tingting QIU;Jinlian WU;Jia ZHANG-.Finite Groups with p-Supersolvable Normalizers of p-Subgroups)[J].数学研究及应用,2022(05):476-480
A类：
Supersolvable,Normalizers,Subgroups,nilpotency,normalizers,supersolvability,normalizer
B类：
Finite,Groups,In,literature,subgroups,has,impor,tant,influence,finite,nilpotent,this,paper,extend,choose,every,such,that,pd,explore,by,conditions,weakly,supplemented,properties,NG,where,Also,study,under,assumptions,Kp,Sylow,To,some,extent,our,main,results,can,regarded,generalizations,Frobenius,theorem
AB值：
0.438351
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