The Schur multiplier of ap-group with the derived subgroup of maximal order

被引：2

作者：

Shamsaki, Afsaneh ^{[1
]}

Niroomand, Peyman ^{[1
]}

Johari, Farangis ^{[2
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

[2] Univ Fed Minas Gerais, Dept Matemat, Inst Ciencias Exatas, Belo Horizonte, MG, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 11期

关键词：

p-group; Schur multiplier;

D O I：

10.1080/00927872.2020.1775843

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we give two bounds for the order of Schur multiplier of groups of order p(n) and class c with derived subgroup of order p(n-2) (p not equal 2). They improve the earlier upper bounds on the order of Schur multiplier of such groups, in particular the bounds of Moravec and Rai when vertical bar G 'vertical bar = p(n-2).

引用

页码：4948 / 4953

页数：6

共 11 条

[1]

Baer R, 1938, T AM MATH SOC, V44, P387

[2] TENSOR-PRODUCTS AND Q-CROSSED MODULES [J].