Finite Groups Whose Norm Quotient Groups Have Cyclic Sylow Subgroups  

作　　者：Songliang CHEN Yun FAN 

机构地区：[1]School of Mathematics and Big Data,Guizhou Education University,Guizhou 550018,P.R.China [2]School of Mathematics and Statistics,Central China Normal University,Hubei 430079,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第2期153-161,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11661023);the Service Industry Development Guide of Guizhou Province(Grant No.Qian Fa Gai Fu Wu[2018]1181)。

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.

关 键 词：NORM Dedekind group Hamiltonian group π-group structure of finite group Sylow subgroup 

分 类 号：O152.1[理学—数学]