Bilinear maps and central extensions of abelian groups

Arturo Magidin

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arXiv · math/9802066

Bilinear maps and central extensions of abelian groups

Arturo Magidin

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Abstract

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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Arturo Magidin. 1998-02-13. Bilinear maps and central extensions of abelian groups. https://arxiv.org/abs/math/9802066

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