Title : ( On the Order of the Schur Multiplier of a Pair of Finite p-Groups )
Authors: Azam Hokmabadi , Fahimeh Mohammadzadeh , Behrooz Mashayekhy Fard ,
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Abstract
In 1998, G. Ellis defined the Schur multiplier of a pair $(G,N)$ of groups and mentioned that this notion is a useful tool for studying pairs of groups. In this paper, we characterize the structure of a pair of finite $p$-groups $(G,N)$ in terms of the order of the Schur multiplier of $(G,N)$ under some conditions.
Keywords
, Pair of groups, Schur multiplier of a pair, Finite $p$-group.
@article{paperid:1042259,
author = {Azam Hokmabadi and Fahimeh Mohammadzadeh and Mashayekhy Fard, Behrooz},
title = {On the Order of the Schur Multiplier of a Pair of Finite p-Groups},
journal = {Journal of Advanced Research in Pure Mathematics},
year = {2014},
volume = {6},
number = {2},
month = {April},
issn = {1943-2380},
pages = {64--74},
numpages = {10},
keywords = {Pair of groups; Schur multiplier of a pair; Finite $p$-group.},
}
%0 Journal Article
%T On the Order of the Schur Multiplier of a Pair of Finite p-Groups
%A Azam Hokmabadi
%A Fahimeh Mohammadzadeh
%A Mashayekhy Fard, Behrooz
%J Journal of Advanced Research in Pure Mathematics
%@ 1943-2380
%D 2014
