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典型文献
Finite Groups Whose Norm Quotient Groups Have Cyclic Sylow Subgroups
文献摘要:
Let G be a finite group and N(G)be its norm.Then N(G)is a characteristic subgroup of G which normalizes every subgroup of G.In this paper,we will study the structure of G under one of the following conditions:1)norm quotient group G/N(G)is cyclic;2)all Sylow subgroups of G/N(G)are cyclic and in particular if the order of G/N(G)is a square-free number.
文献关键词:
作者姓名:
Songliang CHEN;Yun FAN
作者机构:
School of Mathematics and Big Data,Guizhou Education University,Guizhou 550018,P.R.China;School of Mathematics and Statistics,Central China Normal University,Hubei 430079,P.R.China
文献出处:
引用格式:
[1]Songliang CHEN;Yun FAN-.Finite Groups Whose Norm Quotient Groups Have Cyclic Sylow Subgroups)[J].数学研究及应用,2022(02):153-161
A类:
Subgroups
B类:
Finite,Groups,Whose,Norm,Quotient,Have,Cyclic,Sylow,Let,finite,its,Then,characteristic,which,normalizes,every,In,this,paper,we,will,study,structure,under,one,following,conditions,quotient,cyclic,all,subgroups,particular,if,order,square,free,number
AB值:
0.63924
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