SOME INEQUALITIES FOR POLYNILPOTENT MULTIPLIER OF POWERFULL p-GROUPS

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_۱; · · · ; c_t) of a powerful p-group.Our results extend some of Mashakekhy and Maohammadzadeh’s in ۲۰۰۷ to polynilpotent multipliers.

کلیدواژه ها:

powerful p-groups ، polynilpotent multiplier of groups ، exponent ، minimum number of generators of a group