On the Nilpotent Multiplier of a Free Product

Abstract

In this paper, using a result of J. Burns and G. Ellis (Math. Z. 226 (1997) 405-28.), we prove that the $c$-nilpotent multiplier (the Baer-invariant with respect to the variety of nilpotent groups of class at most $c$, ${\mathcal{N}}_c$.) {\it does commute} with the free product of cyclic groups of mutually coprime order.

11 pages

Cited by in corpus (3)

• Some Functorial Properties of Nilpotent Multipliers
• Some Baer Invariants of Free Nilpotent Groups
• On Polynilpotent Multipliers of Free Nilpotent Groups