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arXiv · 1409.7188

On nilpotent Chernikov $p$-groups with elementary tops

Yuriy Drozd·Andriana Plakosh
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Abstract

The description of nilpotent Chernikov $p$-groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the residue field $\mathbb{F}_p$. If $p\ne2$ and the bottom of the group only consists of $2$ quasi-cyclic summands, a complete classification is given. We use the technique of quivers with relations.

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Yuriy Drozd, Andriana Plakosh. 2014-09-25. On nilpotent Chernikov $p$-groups with elementary tops. https://doi.org/10.1007/s00013-014-0707-4

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