FINITE GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS OF EVEN ORDER ARE Hp-GROUPS

被引：0

作者：

Meng, Wei ^{[1
]}

Lu, Jiakuan ^{[2
]}

机构：

[1] Yunnan Univ Nationalities, Sch Math & Comp Sci, Kunming 650031, Yunnan, Peoples R China

[2] Guangxi Normal Univ, Dept Math, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

H-subgroup; solvable group; maximal subgroup;

D O I：

10.1142/S021949881350148X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. A subgroup H of G is called an H-subgroup of G if N-G( H) boolean AND H-g <= H for all g is an element of G; G is said to be an H-p-group if every cyclic subgroup of G of prime order or order 4 is an H-subgroup of G. In this paper, the structure of the finite groups all of whose maximal subgroups of even order are H-p-subgroups have been characterized.

引用

页数：8

共 50 条

[31] Finite Groups Whose n-Maximal Subgroups Are Modular
J. Huang
B. Hu
X. Zheng
[J]. Siberian Mathematical Journal, 2018, 59 : 556 - 564
[32] FINITE GROUPS ALL OF WHOSE SMALL SUBGROUPS ARE PRONORMAL
Malinowska, I. A.
[J]. ACTA MATHEMATICA HUNGARICA, 2015, 147 (02) : 324 - 337
[33] Finite groups all of whose small subgroups are normal
Berkovich, Yakov
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (06)
[34] Finite groups whose n-maximal subgroups are σ-subnormal
Guo, Wenbin
Skiba, Alexander N.
[J]. SCIENCE CHINA-MATHEMATICS, 2019, 62 (07) : 1355 - 1372
[35] Finite groups all of whose small subgroups are pronormal
I. A. Malinowska
[J]. Acta Mathematica Hungarica, 2015, 147 : 324 - 337
[36] ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC
ADYAN, SI
LYSENOK, IG
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1992, 39 (02): : 905 - 957
[37] Finite groups whose n-maximal subgroups are σ-subnormal
Wenbin Guo
Alexander N.Skiba
[J]. Science China Mathematics, 2019, 62 (07) : 1355 - 1372
[38] FINITE GROUPS WHOSE N-MAXIMAL SUBGROUPS ARE SUBNORMAL
MANN, AA
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 132 (02) : 395 - &
[39] Finite groups whose maximal subgroups have the hall property
Maslova N.V.
Revin D.O.
[J]. Siberian Advances in Mathematics, 2013, 23 (3) : 196 - 209
[40] On Groups Whose Maximal Cyclic Subgroups Are Maximal
Juriaans, S. O.
Rogerio, J. R.
[J]. ALGEBRA COLLOQUIUM, 2010, 17 (02) : 223 - 227

← 1 2 3 4 5 →