CHARACTERIZATION OF FINITE p-GROUPS BY THEIR SCHUR MULTIPLIERS

被引：4

作者：

Khamseh, Elaheh ^{[1
]}

Moghaddam, Mohammad Reza R. ^{[2
,3
]}

Saeedi, Farshid ^{[1
]}

机构：

[1] Islamic Azad Univ, Mashhad Branch, Fac Sci, Dept Math, Mashhad 91756, Iran

[2] Ferdowsi Univ Mashhad, Khayyam Higher Educ Inst, Mashhad 91775, Iran

[3] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad 91775, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 05期

关键词：

Schur multiplier; extra-special p-group; ORDER;

D O I：

10.1142/S0219498811005592

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite p-group of order p(n) and M(G) be the Schur multiplier of G. In 1956, Green proved that vertical bar M(G)vertical bar = p((n(n-1)/2)-t(G)), where t(G) >= 0. Berkovich (1991), Zhou (1994) and Ellis (1999) have determined the structure of G, when t(G) = 0, 1,2 and 3, respectively. In 2007, Salemkar et al. classified the structure of G for t(G) = 4 under one condition. In this paper, we characterize all finite abelian p-groups for t(G) >= 0 and non-abelian p-groups, for t(G) = 4 and 5.

引用

页数：9

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