On nilpotent Chernikov p-groups with elementary tops

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 F p . If p ≠ 2 and the bottom of the group only consists of 2 quasi-cyclic summands, a complete classification is given. The main tool is th...

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Bibliographic Details
Published in:Archiv der Mathematik 2014-11, Vol.103 (5), p.401-409
Main Authors: Drozd, Yuriy, Plakosh, Andriana
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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 F p . If p ≠ 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.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-014-0707-4