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
  • [41] On chernikov P-groups
    Gudivok P.M.
    Shapochka I.V.
    Ukrainian Mathematical Journal, 1999, 51 (3) : 329 - 342
  • [42] Enumerating p-groups
    Eick, B
    O'Brien, EA
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1999, 67 : 191 - 205
  • [43] A note on the Schur multiplier of groups of prime power order
    Peyman Niroomand
    Ricerche di Matematica, 2012, 61 (2) : 341 - 346
  • [44] On classification of groups having Schur multiplier of maximum order
    Pradeep K. Rai
    Archiv der Mathematik, 2016, 107 : 455 - 460
  • [45] A note on the Schur multiplier of groups of prime power order
    Niroomand, Peyman
    RICERCHE DI MATEMATICA, 2012, 61 (02) : 341 - 346
  • [46] On classification of groups having Schur multiplier of maximum order
    Rai, Pradeep K.
    ARCHIV DER MATHEMATIK, 2016, 107 (05) : 455 - 460
  • [47] 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
  • [48] Maximal class p-groups with large character degree gaps
    Slattery, Michael C.
    ARCHIV DER MATHEMATIK, 2015, 105 (06) : 501 - 507
  • [49] 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
  • [50] p-Rank and p-groups in algebraic groups
    Deloro, Adrien
    TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (04) : 578 - 582