Bounds for the order of the Schur multiplier of a pair of groups

被引：0

作者：

Khamseh, Elaheh ^{[1
]}

Arabyani, Homayoon ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Shahr E Qods Branch, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Neyshabur Branch, Neyshabur, Iran

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 01期

关键词：

Pair of groups; Schur multiplier; p-groups; TENSOR-PRODUCTS; INEQUALITIES;

D O I：

10.1142/S1793557122502321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (N, G) be a pair of groups, in which N is a normal subgroup of G and 1 -> R -> F -> G -> 1 is a free presentation of G. Suppose that N admits a complement in G, Ellis defined the notion of the Schur multiplier of the pair (N, G) as M(N, G) congruent to R boolean AND [S, F]/[R, F], where S is a normal subgroup in a free group F such that N congruent to S/R. In this paper, we give some inequalities for the order of the Schur multiplier of a pair of groups.

引用

页数：8

共 14 条

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