Title : ( ON THE EXPONENT OF THE SCHUR MULTIPLIER OF A PAIR OF FINITE p-GROUPS )
Authors: Fahimeh Mohammadzadeh , Azam Hokmabadi , Behrooz Mashayekhy Fard ,
Full TextAbstract
In this paper, we find an upper bound for the exponent of the Schur multiplier of a pair (G,N) of finite p -groups, when N admits a complement in G . As a consequence, we show that the exponent of the Schur multiplier of a pair (G,N) divides exp(N) if (G,N) is a pair of finite $p$-groups of class at most p-1 . We also prove that if N is powerfully embedded in G , then the exponent of the Schur multiplier of a pair (G,N) divides exp(N) .
Keywords
, Pair of groups, Schur multiplier of a pair, Finite $p$-groups
@article{paperid:1032352,
author = {Fahimeh Mohammadzadeh and Azam Hokmabadi and Mashayekhy Fard, Behrooz},
title = {ON THE EXPONENT OF THE SCHUR MULTIPLIER OF A PAIR OF FINITE p-GROUPS},
journal = {Journal of Algebra and its Applications},
year = {2013},
volume = {12},
number = {8},
month = {August},
issn = {0219-4988},
pages = {1350053--1250251},
numpages = {-99802},
keywords = {Pair of groups; Schur multiplier of a pair; Finite $p$-groups},
}
%0 Journal Article
%T ON THE EXPONENT OF THE SCHUR MULTIPLIER OF A PAIR OF FINITE p-GROUPS
%A Fahimeh Mohammadzadeh
%A Azam Hokmabadi
%A Mashayekhy Fard, Behrooz
%J Journal of Algebra and its Applications
%@ 0219-4988
%D 2013
