The Schur multiplier of p-groups with large derived subgroup

被引:7
作者
Niroomand, Peyman [1 ]
机构
[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran
关键词
Schur multiplier; p-groups; FINITE-GROUP;
D O I
10.1007/s00013-010-0154-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For any given p-group of order p (n) (n a parts per thousand yen 4) with derived subgroup of order p (n-2) we will show that the order of its Schur multiplier is less than |G (')|/2 when p = 2 and |G (')| in the other cases.
引用
收藏
页码:101 / 103
页数:3
相关论文
共 50 条
  • [31] 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
  • [32] A NOTE ON FINITE p-GROUPS WITH A MAXIMAL ELEMENTARY SUBGROUP OF RANK 2
    Glauberman, G.
    ISCHIA GROUP THEORY 2010, 2012, : 159 - 163
  • [33] CHARACTERIZATION OF FINITE p-GROUPS BY THE ORDER OF THEIR SCHUR MULTIPLIERS (t(G)=7)
    Jafari, S. H.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (07): : 2567 - 2576
  • [34] Noether's problem for p-groups with a cyclic subgroup of index p2
    Kang, Ming-chang
    ADVANCES IN MATHEMATICS, 2011, 226 (01) : 218 - 234
  • [35] On classification of groups having Schur multiplier of maximum order II
    Rai, Pradeep K.
    ARCHIV DER MATHEMATIK, 2018, 111 (02) : 129 - 133
  • [36] Some properties on the Schur multiplier of a pair of groups
    Moghaddam, Mohammad Reza R.
    Salemkar, Ali Reza
    Chiti, Kazem
    JOURNAL OF ALGEBRA, 2007, 312 (01) : 1 - 8
  • [37] Schur multiplier and Schur covers of relative Rota-Baxter groups
    Belwal, Pragya
    Rathee, Nishant
    Singh, Mahender
    JOURNAL OF ALGEBRA, 2024, 657 : 327 - 362
  • [38] On Schur multiplier and projective representations of Heisenberg groups
    Hatui, Sumana
    Singla, Pooja
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (11)
  • [39] 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
  • [40] On a class of finite capable p-groups
    Schmid, Peter
    ARCHIV DER MATHEMATIK, 2016, 106 (04) : 301 - 304