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
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
收藏
页数:13
相关论文
共 50 条
  • [1] The Schur Multiplier of Pairs of Groups of Order p2q
    Rashid, S.
    Nawi, A. A.
    Ali, N. M. Mohd
    Sarmin, N. H.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [2] Capable groups of order p3q
    Kalteh, O.
    Jafari, S. Hadi
    ALGEBRA AND DISCRETE MATHEMATICS, 2022, 33 (01): : 104 - 115
  • [3] THE SCHUR MULTIPLIER OF PAIRS OF NONABELIAN GROUPS OF ORDER P-4
    Nawi, Adnin Afifi
    Ali, Nor Muhainiah Mohd
    Sarmin, Nor Haniza
    Rashid, Samad
    JURNAL TEKNOLOGI, 2016, 78 (3-2): : 39 - 43
  • [4] GROUPS OF ORDER P3Q WITH IDENTICAL SUBGROUP STRUCTURES
    HOLMES, CS
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A109 - A109
  • [5] The Computation of Schur Multiplier and Capability of Pairs of Groups of Order p4
    Nawi, Adnin Afifi
    Ali, Nor Muhainiah Mohd
    Sarmin, Nor Haniza
    PROCEEDINGS OF THE 27TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM27), 2020, 2266
  • [6] On the schur multiplier of groups of order 8q
    Rashid, S.
    Sarmin, N.H.
    Erfanian, A.
    Mohd Ali, N.M.
    International Journal of Applied Mathematics and Statistics, 2012, 28 (04): : 18 - 22
  • [7] On the Schur Multiplier of Groups of Order 8q
    Rashid, S.
    Sarmin, N. H.
    Erfanian, A.
    Ali, N. M. Mohd
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2012, 28 (04): : 18 - 22
  • [8] Computing the nonabelian tensor squares of groups of order p3q
    Kalteh, O.
    Jafari, S. Hadi
    ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (01) : 103 - 113
  • [9] The Schur multiplier of groups of order p5
    Hatui, Sumana
    Kakkar, Vipul
    Yadav, Manoj K.
    JOURNAL OF GROUP THEORY, 2019, 22 (04) : 647 - 687
  • [10] A note on the order of the Schur multiplier of p-groups
    Rai, Pradeep K.
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2017, 27 (05) : 495 - 500