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| Paper IPM / M / 8007 |
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| Abstract: | |
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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\oversetn∗Z\oversetn∗...
\oversetn∗Z 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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