Bulletin of the Iranian Mathematical Society, ( ISI ), Year (2002-6)

#### Title : on the nilpotent multiplier of a free product ( On the nilpotent multiplier of a free product )

Authors: Behrooz Mashayekhy Fard ,

Citation: BibTeX | EndNote

#### 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.

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.

#### Keywords

, Nilpotent Multiplier, Baer-invariant, Free Product
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@article{paperid:200845,
author = {Mashayekhy Fard, Behrooz},
title = {on the nilpotent multiplier of a free product},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2002},
month = {June},
issn = {1735-8515},
keywords = {Nilpotent Multiplier; Baer-invariant; Free Product},
}