A bound for the exponent of the Schur multiplier of a finite p-group

被引：4

作者：

Gonzalez-Sanchez, Jon ^{[1
]}

Nicolas, Alejandro P. ^{[1
]}

机构：

[1] Univ Cantabria, Dept Matemat Estadist & Computac, Fac Ciencias, E-39071 Santander, Spain

来源：

JOURNAL OF ALGEBRA | 2010年 / 324卷 / 09期

关键词：

Schur multiplier; PF-groups; Finite rank; Exponent;

D O I：

10.1016/j.jalgebra.2010.07.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime, G a finite p-group, r the rank of G and e the exponent of G. In this short note we will prove that the exponent of the Schur multiplier of G divides p(e+rinverted right perpendicularlog2(rlog2 p+1/p-1)inverted left perpendicular). (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2564 / 2567

页数：4

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