Title : ( On the Order of the Schur Multiplier of a Pair of Finite p-Groups II )
Authors: Fahimeh Mohammadzadeh , Azam Hokmabadi , Behrooz Mashayekhy Fard ,
Full TextAbstract
Let G be a finite p -group and N be a normal subgroup of G , with |N|=p^n and |G/N|=p^m . A result of Ellis (1998) shows that the order of the Schur multiplier of such a pair (G,N) of finite p -groups is bounded by p^{ frac{1}{2}n(2m+n-1)} and hence it is equal to p^{ frac{1}{2}n(2m+n-1)-t} , for some non-negative integer t . Recently the authors characterized the structure of (G,N) when N has a complement in G and t leq 3. This paper is devoted to classify the structure of (G,N) when N has a normal complement in G and t=4,5.
Keywords
, pair of groups, Schur multiplier, finite p -groups
@article{paperid:1031146,
author = {Fahimeh Mohammadzadeh and Azam Hokmabadi and Mashayekhy Fard, Behrooz},
title = {On the Order of the Schur Multiplier of a Pair of Finite p-Groups II},
journal = {نظریه گروه ها-International Journal of Group Theory},
year = {2013},
volume = {2},
number = {3},
month = {January},
issn = {2251-7650},
pages = {1--8},
numpages = {7},
keywords = {pair of groups; Schur multiplier; finite p -groups},
}
%0 Journal Article
%T On the Order of the Schur Multiplier of a Pair of Finite p-Groups II
%A Fahimeh Mohammadzadeh
%A Azam Hokmabadi
%A Mashayekhy Fard, Behrooz
%J نظریه گروه ها-International Journal of Group Theory
%@ 2251-7650
%D 2013
