Finite biprimary groups with all 3-maximal subgroups -subnormal

被引：0

作者：

Kovaleva, V. A. ^{[1
]}

Yi, X. ^{[2
]}

机构：

[1] Francisk Skorina Gomel State Univ, Dept Math, Gomel 246019, BELARUS

[2] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2015年 / 146卷 / 01期

关键词：

3-maximal subgroup; U-subnormal subgroup; supersoluble group; SDH-group; N-MAXIMAL SUBGROUPS;

D O I：

10.1007/s10474-015-0498-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete classification of finite biprimary groups in which every 3-maximal subgroup is -subnormal is given.

引用

页码：47 / 55

页数：9

共 50 条

[1] Finite groups in which every 3-Maximal subgroup commutes with all maximal subgroups
Wen-Bin Guo
E. V. Legchekova
A. N. Skiba
Mathematical Notes, 2009, 86
[2] Finite groups in which every 3-Maximal subgroup commutes with all maximal subgroups
Guo, Wen-Bin
Legchekova, E. V.
Skiba, A. N.
MATHEMATICAL NOTES, 2009, 86 (3-4) : 325 - 332
[3] Finite groups with subnormal second or third maximal subgroups
Lutsenko, Yu. V.
Skiba, A. N.
MATHEMATICAL NOTES, 2012, 91 (5-6) : 680 - 688
[4] Finite groups with subnormal second or third maximal subgroups
Yu. V. Lutsenko
A. N. Skiba
Mathematical Notes, 2012, 91 : 680 - 688
[5] Residually finite groups with all subgroups subnormal
Smith, H
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1999, 31 : 679 - 680
[6] THE STRUCTURE OF FINITE NON-NILPOTENT GROUPS IN WHICH EVERY 2-MAXIMAL SUBGROUP PERMUTES WITH ALL 3-MAXIMAL SUBGROUPS
Guo, Wenbin
Legchekova, Helena V.
Skiba, Alexander N.
COMMUNICATIONS IN ALGEBRA, 2009, 37 (07) : 2446 - 2456
[7] Finite soluble groups with all n-maximal subgroups F-subnormal
Kovaleva, Viktoria A.
Skiba, Alexander N.
JOURNAL OF GROUP THEORY, 2014, 17 (02) : 273 - 290
[8] Finite solvable groups with all n-maximal subgroups u-subnormal
Kovaleva, V. A.
Skiba, A. N.
SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (01) : 64 - 72
[9] On 𝜎-Subnormal Subgroups of Finite 3'-Groups
S. F. Kamornikov
V. N. Tyutyanov
Ukrainian Mathematical Journal, 2020, 72 : 935 - 941
[10] Finite groups with biprimary Hall subgroups
Tyutyanov, Valentin N.
Kniahina, Viktoryia N.
JOURNAL OF ALGEBRA, 2015, 443 : 430 - 440

← 1 2 3 4 5 →