THE SCHUR MULTIPLIER OF PAIRS OF NONABELIAN GROUPS OF ORDER P-4

被引：0

作者：

Nawi, Adnin Afifi ^{[1
]}

Ali, Nor Muhainiah Mohd ^{[1
]}

Sarmin, Nor Haniza ^{[1
]}

Rashid, Samad ^{[2
]}

机构：

[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

[2] Islamic Azad Univ, Fac Sci, Dept Math, Firoozkooh Branch, Tehran, Iran

来源：

JURNAL TEKNOLOGI | 2016年 / 78卷 / 3-2期

关键词：

Schur multiplier; pair of groups; normal subgroup; nonabelian group;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Let (G,N) be a pair of groups where G is any group and N is a normal subgroup of G, then the Schur multiplier of pairs of groups is a functorial abelian group. The notion of the Schur multiplier of pairs of groups is an extension from the Schur multiplier of a group G. In this research, the Schur multiplier of pairs of finite nonabelian groups of order p(4), where p is an odd prime, is determined.

引用

页码：39 / 43

页数：5

共 10 条

[1] SOME COMPUTATIONS OF NON-ABELIAN TENSOR-PRODUCTS OF GROUPS [J].

BROWN, R ;

JOHNSON, DL ;

ROBERTSON, EF .

JOURNAL OF ALGEBRA, 1987, 111 (01) :177-202

[2]

Burnside W., 1955, THEORY GROUPS FINITE

[3] The Schur multiplier of a pair of groups [J].

Ellis, G .

APPLIED CATEGORICAL STRUCTURES, 1998, 6 (03) :355-371

[4] ON THE NUMBER OF AUTOMORPHISMS OF A FINITE GROUP [J].

GREEN, JA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1956, 237 (1211) :574-581

[5]

Karpilovsky G., 1987, THE SCHUR MULTIPLIER

[6]

Kim S. O., 2001, COMMUNICATIONS KOREA, V16, P205

[7] Some properties on the Schur multiplier of a pair of groups [J].

Moghaddam, Mohammad Reza R. ;

Salemkar, Ali Reza ;

Chiti, Kazem .

JOURNAL OF ALGEBRA, 2007, 312 (01) :1-8

[8]

Mohammadzadeh F, 2013, INT J GROUP THEORY, V2, P1

[9]

Schur J, 1904, J REINE ANGEW MATH, V127, P20

[10]

Visscher M. P., 1998, THESIS

← 1 →