The Schur Multiplier of Pairs of Groups of Order p3q

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, Johor Baharu, Malaysia

[2] Islamic Azad Univ, Yadegar E Imam Khomeini RAH Branch, Dept Math, Coll Basic Sci, Tehran, Iran

来源：

ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS | 2016年 / 1750卷

关键词：

D O I：

10.1063/1.4954589

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (G, N) be a pair of groups in which N is a normal subgroup of G. Then, the Schur multiplier of pairs of groups (G, N), denoted by M(G, N), is an extension of the Schur multiplier of a group G, which is a functorial abelian group. In this research, the Schur multiplier of pairs of all groups of order p(3)q where p is an odd prime and p < q is determined.

引用

页数：13

共 50 条

[21] A note on the Schur multiplier of groups of prime power order
Peyman Niroomand
Ricerche di Matematica, 2012, 61 (2) : 341 - 346
[22] On classification of groups having Schur multiplier of maximum order
Pradeep K. Rai
Archiv der Mathematik, 2016, 107 : 455 - 460
[23] Some inequalities for the order of the Schur multiplier of a pair of groups
Moghaddam, Mohammad Reza R.
Salemkar, Ali Reza
Karimi, Taghi
COMMUNICATIONS IN ALGEBRA, 2008, 36 (07) : 2481 - 2486
[24] A note on the Schur multiplier of groups of prime power order
Niroomand, Peyman
RICERCHE DI MATEMATICA, 2012, 61 (02) : 341 - 346
[25] On classification of groups having Schur multiplier of maximum order
Rai, Pradeep K.
ARCHIV DER MATHEMATIK, 2016, 107 (05) : 455 - 460
[26] The Schur Multiplier and Nonabelian Tensor Square of Some Groups of p-Power Order
Zainal, Rosita
Ali, Nor Muhainiah Mohd
Sarmin, Nor Haniza
Rashid, Samad
PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B, 2013, 1522 : 1039 - 1044
[27] Groups with infinite mod-p Schur multiplier
Weigel, Th.
Zalesskii, P. A.
JOURNAL OF ALGEBRA, 2011, 344 (01) : 70 - 77
[28] On classification of groups having Schur multiplier of maximum order II
Pradeep K. Rai
Archiv der Mathematik, 2018, 111 : 129 - 133
[29] On classification of groups having Schur multiplier of maximum order II
Rai, Pradeep K.
ARCHIV DER MATHEMATIK, 2018, 111 (02) : 129 - 133
[30] The Schur Multiplier of a Pair of Groups
Graham Ellis
Applied Categorical Structures, 1998, 6 : 355 - 371

← 1 2 3 4 5 →