CHARACTERIZATION OF FINITE p-GROUPS BY THE ORDER OF THEIR SCHUR MULTIPLIERS (t(G)=7)

被引:0
作者
Jafari, S. H. [1 ]
机构
[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran
关键词
Schur multiplier; nonabelian tensor square; p-Group; ODD PRIME;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a finite p-group of order p(n) and vertical bar M(G)vertical bar= p(1/2n(n-1)-t(G)), where M(G) is the Schur multiplier of G and t(G) is a nonnegative integer. The classification of such groups G is already known for t(G) <= 6. This paper extends the classification to t(G) = 7.
引用
收藏
页码:2567 / 2576
页数:10
相关论文
共 50 条
[41]   On finite Alperin p-groups with homocyclic commutator subgroup [J].
Veretennikov, B. M. .
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2011, 17 (04) :53-65
[42]   c-Nilpotent Multiplier of Finite p-Groups [J].
Niroomand, Peyman ;
Johari, Farangis ;
Parvizi, Mohsen .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (01) :941-956
[43]   On commuting automorphisms of finite p-groups of coclass 3 [J].
Azimi Shahrabi, N. ;
Akhavan-Malayeri, M. .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (07)
[44]   Finite p-Groups with Exactly One A1-Subgroup of Given Structure of Order p3 [J].
Li Bo ZHAO ;
Xiu Yun GUO .
Acta Mathematica Sinica,English Series, 2013, (11) :2099-2110
[45]   The order of automorphism group of some families p-groups [J].
Wang, Y ;
Zhang, XZ ;
Ban, GN .
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, :162-167
[46]   Finite p-Groups with Exactly One A1-Subgroup of Given Structure of Order p3 [J].
Zhao, Li Bo ;
Guo, Xiu Yun .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (11) :2099-2110
[47]   ON p-GROUPS WITH AUTOMORPHISM GROUPS RELATED TO THE CHEVALLEY GROUP G2(p) [J].
Bamberg, John ;
Freedman, Sauld D. ;
Morgan, Luke .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 108 (03) :321-331
[48]   Class-preserving automorphisms of some finite p-groups [J].
Gumber, Deepak ;
Sharma, Mahak .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (02) :181-186
[49]   The automorphism group of finite p-groups associated to the Macdonald group [J].
Ocampo, Alexander Montoya ;
Szechtman, Fernando .
COMMUNICATIONS IN ALGEBRA, 2025, 53 (01) :342-362
[50]   Finite p-groups with cyclic commutator subgroup and cyclic center [J].
Finogenov, AA .
MATHEMATICAL NOTES, 1998, 63 (5-6) :802-812