Bilinear maps and central extensions of abelian groups

Details Bilinear maps and central extensions of abelian groups Bilinear maps and central extensions of abelian groups

1998-02-13

arxiv.org/abs/math/9802066v1

Mathematics

Group Theory

16 Pages, Plain TeX

Scientific paper

We show that every nilpotent group of class at most two may be embedded in a
central extension of abelian groups with bilinear cocycle. The embedding is
shown to depend only on the base group. Some refinements are obtained by
considering the cohomological situation explicitly.

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