ON SPLIT METACYCLIC GROUPS

被引：1

作者：

Yang, Yan ^{[1
]}

Liu, He-guo

机构：

[1] Hubei Univ, Wuhan, Peoples R China

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2013年 / 64卷 / 10期

关键词：

AUTOMORPHISM GROUP; P-GROUP;

D O I：

10.1007/s11253-013-0740-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider sufficient conditions for metacyclic groups to split. Specifically, we show that a finite metacyclic group G of odd order is split on its cyclic normal subgroup K if K is such that G/K is cyclic and vertical bar K vertical bar = exp G:

引用

页码：1627 / 1633

页数：7

共 50 条

[31] A combinatorial formula for the Wedderburn decomposition of rational group algebras of split metacyclic p-groups
Choudhary, Ram Karan
Prajapati, Sunil Kumar
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[32] ON ISOMORPHISMS OF 2 METACYCLIC GROUPS
BASMAJI, BG
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (01) : 175 - &
[33] Metacyclic groups and modular forms
Voskresenskaya, GV
MATHEMATICAL NOTES, 2000, 67 (1-2) : 129 - 137
[34] On the irreducibility of the space of Galois covers of curves of a given numerical type for certain split metacyclic groups
Weigl, Sascha
TOPOLOGY AND ITS APPLICATIONS, 2018, 245 : 92 - 112
[35] Bound on the diameter of metacyclic groups
Rajeevsarathy, Kashyap
Sarkar, Siddhartha
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (11)
[36] The Subgroups of Finite Metacyclic Groups
Xu YANG
ChineseAnnalsofMathematics,SeriesB, 2020, (02) : 241 - 266
[37] CHERN CLASSES FOR METACYCLIC GROUPS
HUEBSCHMANN, J
ARCHIV DER MATHEMATIK, 1993, 61 (02) : 124 - 136
[38] THE SYMMETRICAL GENUS OF METACYCLIC GROUPS
MAY, CL
ZIMMERMAN, J
TOPOLOGY AND ITS APPLICATIONS, 1995, 66 (02) : 101 - 115
[39] Strong duality for metacyclic groups
Quackenbush, R
Szabó, C
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 73 : 377 - 392
[40] On a conjecture of Zassenhaus for metacyclic groups
Juriaans, SO
Sehgal, SK
Groups, Rings and Group Rings, 2006, 248 : 253 - 262

← 1 2 3 4 5 →