On the order of the Schur multiplier of a pair of finite p-groups II

Let G be a finite p-group and N be a normal subgroup of G with |N|=p^n and |M|=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^(1/2 n(2m+n-1)) and hence it is equal to p^(1/2 n(2m+n-1)-t)for some non-negative integer...

Full description

Bibliographic Details

Published in:	International Journal of Group Theory
Main Authors:	Behrooz Mashayekhy, Azam Hokmabadi, Fahimeh Mohammadzadeh
Format:	Article
Language:	English
Published:	University of Isfahan 2013-09-01
Subjects:	Pair of groups Schur multiplier Finite p-groups
Online Access:	http://www.theoryofgroups.ir/?_action=showPDF&article=2007&_ob=21cfdbdb330703297453c7ae8d688385&fileName=full_text.pdf.