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On nilpotent Chernikov p-groups with elementary tops

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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 \({p \neq 2}\) and the bottom of the group only consists of 2 quasi-cyclic summands, a complete classification is given. The main tool is the theory of representations of quivers with involution.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkivska 3, 01601, Kiev, Ukraine

    Yuriy Drozd & Andriana Plakosh

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  1. Yuriy Drozd
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  2. Andriana Plakosh
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Correspondence to Yuriy Drozd.

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Drozd, Y., Plakosh, A. On nilpotent Chernikov p-groups with elementary tops. Arch. Math. 103, 401–409 (2014). https://doi.org/10.1007/s00013-014-0707-4

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  • DOI: https://doi.org/10.1007/s00013-014-0707-4

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