Bilinear maps and central extensions of abelian groups
Group Theory
2007-05-23 v1
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.
Cite
@article{arxiv.math/9802066,
title = {Bilinear maps and central extensions of abelian groups},
author = {Arturo Magidin},
journal= {arXiv preprint arXiv:math/9802066},
year = {2007}
}
Comments
16 Pages, Plain TeX