%0 Journal Article
%T Some Inequalities for Nilpotent Multipliers of Powerful $p$-Groups
%A Behrooz Mashayekhy
%A Fahimeh Mohammadzadeh
%J Mathematics
%D 2010
%I arXiv
%X In this paper we present some inequalities for the order, the exponent, and the number of generators of the c-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups of class at most $c \geq 1$) of a powerful p-group. Our results extend some of Lubotzky and Mann$^{,}$s (Journal of Algebra, 105 (1987), 484-505.) to nilpotent multipliers. Also, we give some explicit examples showing the tightness of our results and improvement some of the previous inequalities.
%U http://arxiv.org/abs/1012.3243v1