%0 Journal Article %T SOME INEQUALITIES FOR POLYNILPOTENT MULTIPLIER OF POWERFULL p-GROUPS %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Alizadeh Sanati, M. %D 2022 %\ 01/01/2022 %V 9 %N 2 %P 259-265 %! SOME INEQUALITIES FOR POLYNILPOTENT MULTIPLIER OF POWERFULL p-GROUPS %K powerful p-groups %K polynilpotent multiplier of groups %K exponent %K minimum number of generators of a group %R 10.22044/jas.2021.9465.1462 %X 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. %U https://jas.shahroodut.ac.ir/article_2197_d26668847ad433a45fe3e0bbf37199bb.pdf