c; 1; : : : ; 1) Polynilpotent Multiplier of some Nilpotent Products of Groups

Abstract

In this paper we determine the structure of (c; 1; : : : ; 1) polynilpotent multiplier of certain class of groups. The method is based on the characterizing an explicit structure for the Baer invariant of a free nilpotent group with respect to the variety of polynilpotent groups of class row (c; 1; : : : ; 1)