FINITE p-GROUPS WHOSE NORMAL CLOSURES OF NON-NORMAL SUBGROUPS HAVE TWO ORDERS

被引：0

|

作者：

Wang, Lifang ^{[1
]}

机构：

[1] Shanxi Normal Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 59卷 / 04期

关键词：

Finite p-groups; non-normal subgroups; normal closure;

D O I：

10.4134/JKMS.j210711

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the structure of finite p-groups in which all normal closures of non-normal subgroups have two orders for p > 2.

引用

收藏

页码：805 / 819

页数：15

相关论文

共 50 条

[41] The intersection of subgroups of finite p-groups
Zhang, Qinhai
Wei, Junjun
ARCHIV DER MATHEMATIK, 2011, 96 (01) : 9 - 17
[42] Groups Satisfying the Minimal Condition for Non-abelian Non-normal Subgroups
Chernikov, Nikolai S.
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2014, 7 (01): : 22 - 34
[43] Finite p-Groups Whose Number of Subgroups of Each Order Is at most p4
Wang, Lifang
ALGEBRA COLLOQUIUM, 2019, 26 (03) : 411 - 424
[44] A Bound on the Number of Conjugacy Classes of Non-normal Cyclic Subgroups of a Finite p-Group
Hamid Mousavi
Hadi Ahmadi
Mediterranean Journal of Mathematics, 2022, 19
[45] Finite nonabelian p-groups all of whose subgroups are q-self dual
Janko, Zvonimir
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (06)
[46] SOLVABLE GROUPS WHOSE NONNORMAL SUBGROUPS HAVE FEW ORDERS
He, Lijuan
Lv, Heng
Chen, Guiyun
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024, 110 (01) : 121 - 128
[47] On maximal cyclic subgroups in finite p-groups
Janko, Zvonimir
MATHEMATISCHE ZEITSCHRIFT, 2006, 254 (01) : 29 - 31
[48] Finite p-groups with some isolated subgroups
Janko, Zvonimir
JOURNAL OF ALGEBRA, 2016, 465 : 41 - 61
[49] On maximal cyclic subgroups in finite p-groups
Zvonimir Janko
Mathematische Zeitschrift, 2006, 254 : 29 - 31
[50] The intersection of nonabelian subgroups of finite p-groups
Zhang, Lihua
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (01)

← 1 2 3 4 5 →