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## 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 $c$, ${\cal N}_c$.) {\it does commute} with the free product of cyclic groups of mutually coprime order.Comment: 11 page

Topics: Mathematics - Group Theory, 20E06, 20F12, 20J10
Year: 2011
OAI identifier: oai:arXiv.org:1103.5903