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On the Nilpotent Multiplier of a Free Product

Group Theory 2011-03-31 v1

Abstract

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

Keywords

Cite

@article{arxiv.1103.5903,
  title  = {On the Nilpotent Multiplier of a Free Product},
  author = {Behrooz Mashayekhy},
  journal= {arXiv preprint arXiv:1103.5903},
  year   = {2011}
}

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11 pages