Title : Some properties on the Schur multiplier of a pair of groups ( Some properties on the Schur multiplier of a pair of groups )
Authors: Mohammad Reza Rajabzadeh Moghaddam , علیرضا سالمکار , Kazem Chiti ,
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Abstract
Abstract J.L. Loday (1978) introduced the concept of relative central extension and G. Ellis (1998) gave the notion of covering pair of a pair of groups (G,N). In this paper under some condition we show the existence of covering pair for the pair of groups (G,N) and also show that every relative central extension is a homomorphic image of a covering pair of (G,N). Finally, we present some inequalities for the Schur multiplier of a pair of finite groups (G,N).
Keywords
, Schur, multiplier; Relative central extension; Covering pair; Pair of groups
@article{paperid:513,
author = {Rajabzadeh Moghaddam, Mohammad Reza and علیرضا سالمکار and Chiti, Kazem},
title = {Some properties on the Schur multiplier of a pair of groups},
journal = {Journal of Algebra},
year = {2007},
volume = {312},
number = {1},
month = {June},
issn = {0021-8693},
pages = {1--8},
numpages = {7},
keywords = {Schur-multiplier; Relative central extension; Covering pair; Pair of groups},
}
%0 Journal Article
%T Some properties on the Schur multiplier of a pair of groups
%A Rajabzadeh Moghaddam, Mohammad Reza
%A علیرضا سالمکار
%A Chiti, Kazem
%J Journal of Algebra
%@ 0021-8693
%D 2007
