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Paper   IPM / M / 8007
School of Mathematics
  Title:   On polynilpotent multipliers of free nilpotent groups
  Author(s):  B. Mashayekhy (Joint with M. Parvizi)
  Status:   Published
  Journal: Comm. Algebra
  Vol.:  34
  Year:  2006
  Pages:   2287-2294
  Supported by:  IPM
  Abstract:
In this paper, we present an explicit structure for the Baer invariant of a free nilpotent group (the n-th nilpotent product of the infinite cyclic group, Z\oversetnZ\oversetn∗... \oversetnZ with respect to the variety of polynilpotent groups of class row (c,1), Nc,1, for all c > 2n−2. In particular, an explicit structure of the Baer invariant of a free abelian group with respect to the variety of metabelian groups will be presented.

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