期刊论文

英文

数学研究及应用：英文版

2095-2651

2022

42

2

153-161

10.3770/j.issn:2095-2651.2022.02.006

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）；

本校为其他机构

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...