On the Nilpotent Multiplier of a Free Product

Details On the Nilpotent Multiplier of a Free Product On the Nilpotent Multiplier of a Free Product

2011-03-30

arxiv.org/abs/1103.5903v1

Bulletin of the Iranian Mathematical Society, 28:2 (2002) 49-59

Mathematics

Group Theory

11 pages

Scientific paper

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.

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