X-decomposable finite groups for X={1, m, m + 1, m + 2}

被引：0
|
作者：
R. Chen
X. Guo
K. P. Shum
机构：
[1] Henan Normal University,College of Mathematics and Information Science
[2] Shanghai University,Department of Mathematics
[3] Yunnan University,Institute of Mathematics
来源：
Siberian Mathematical Journal | 2017年 / 58卷
关键词：
soluble group; -conjugacy class; -decomposable;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A normal subgroup N of a finite group G is called n-decomposable in G if N is the union of n distinct G-conjugacy classes. We study the structure of nonperfect groups in which every proper nontrivial normal subgroup is m-decomposable, m+1-decomposable, or m+2-decomposable for some positive integer m. Furthermore, we give classification for the soluble case.
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页码：899 / 906
页数：7
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