On Two Classes of Finite Inseparable p-Groups

被引：3

作者：

Joseph KIRTL

机构：

[1] DepartmentofMathematics,MaristCollege

来源：

ActaMathematicaSinica | 2015年 / 31卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

摘要：

A finite group is inseparable,it does not split over any proper nontrivial normal subgroup;that is,if it has no nontrivial semidirect product decompositions.This paper investigates two classes of finite inseparable p-groups and,for p≥3,establishes a necessary and sufficient condition for inseparability.

引用

页码：1203 / 1214

页数：12

共 50 条

[1] On two classes of finite inseparable p-groups
Joseph Kirtland
Acta Mathematica Sinica, English Series, 2015, 31 : 1203 - 1214
[2] On Two Classes of Finite Inseparable p-Groups
Joseph KIRTL
Acta Mathematica Sinica,English Series, 2015, (07) : 1203 - 1214
[3] On Two Classes of Finite Inseparable p-groups
Kirtland, Joseph
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (07) : 1203 - 1214
[4] Conjugacy classes and finite p-groups
Adan-Bante, E
ARCHIV DER MATHEMATIK, 2005, 85 (04) : 297 - 303
[5] Conjugacy classes and finite p-groups
Edith Adan-Bante
Archiv der Mathematik, 2005, 85 : 297 - 303
[6] CONJUGACY CLASSES AND CHARACTERS OF FINITE p-GROUPS
Hethelyi, Laszlo
Kuelshammer, Burkhard
Sambale, Benjamin
COMMUNICATIONS IN ALGEBRA, 2011, 39 (02) : 657 - 685
[7] On the number of conjugacy classes in finite p-groups
Jaikin-Zapirain, A
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2003, 68 : 699 - 711
[8] FINITE P-GROUPS WITH UNIQUE MAXIMAL CLASSES
MACDONALD, ID
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1983, 26 (JUN) : 233 - 239
[9] On the poset of conjugacy classes of subgroups of finite p-groups
Mainardis, M
COMMUNICATIONS IN ALGEBRA, 1997, 25 (10) : 3155 - 3177
[10] Two impartial games on finite p-groups
Raza, Zahid
Tehrim, Syeda Tayyba
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2019, 22 (01): : 45 - 58

← 1 2 3 4 5 →