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

R. Chen; X. Guo; K. P. Shum

doi:10.1134/S0037446617050172

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

作者: Chen R.¹, Guo X.², Shum K.P.³
隶属关系:
1. College of Mathematics and Information Science
2. Department of Mathematics
3. Institute of Mathematics
期: 卷 58, 编号 5 (2017)
页面: 899-906
栏目: Article
URL: https://journals.rcsi.science/0037-4466/article/view/171505
DOI: https://doi.org/10.1134/S0037446617050172
ID: 171505

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详细

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.