Some Outer Commutator Multipliers and Capability of Nilpotent Products of Cyclic Groups

Abstract

In this paper, first we obtain an explicit formula for an outer commutator multiplier of nilpotent products of cyclic groups with respect to the variety [Nc1 ,Nc2 ], NcM(Z n Z n ··· n Z n Zr1 n ∗ Zr2 n ··· n ∗ Zrt )