Shahrood University of Technology Journal of Algebraic Systems 2345-5128 9 2 2022 01 01 SOME INEQUALITIES FOR POLYNILPOTENT MULTIPLIER OF POWERFULL p-GROUPS 259 265 2197 10.22044/jas.2021.9465.1462 EN M. Alizadeh Sanati Department of Mathematics, University of Golestan, P.O. Box ,155 Gorgan, Iran. Journal Article 2020 03 14 In this paper we present some inequalities for the order, the exponent, and the number of generators of the polynilpotent multiplier, the Baer invariant with respect to the variety of polynilpotent groups of class row (c_1; · · · ; c_t) of a powerful p-group.Our results extend some of Mashakekhy and Maohammadzadeh’s in 2007 to polynilpotent multipliers. powerful p-groups polynilpotent multiplier of groups exponent minimum number of generators of a group https://jas.shahroodut.ac.ir/article_2197_d26668847ad433a45fe3e0bbf37199bb.pdf