RESEARCH ARTICLE

On nilpotent Chernikov $2$-groups with elementary tops

Yuriy A. Drozd, Andriana I. Plakosh

Institute of Mathematics, National Academy of Sciences of Ukraine, 01601 Kyiv, Ukraine

Abstract: We give an explicit description of nilpotent Chernikov $2$-groups with elementary top and basis of rank 2.

Keywords: Chernikov gorups, nilpotent groups, skew-symmetric matrices, alternative pairs, week equivalence.

MSC: Primary 20F18; Secondary 20F50, 15A21, 15A22

Received: 18.10.2016
Revised: 13.11.2016

Language: English

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