The structure of some polynilpotent multipliers of free nilpotent groups

Abstract

The equivalence relation isologism partitions the class of all groups into families, and it is a well-known fact that the Baer invariant is a powerful tool for this classification. In this article, we provide an explicit formula for the Baer invariant of a free nth nilpotent group (the nth nilpotent product of infinite cyclic groups, Z n ∗ Z n ∗ ... n ∗ Z)