English

On nilpotent Chernikov $p$-groups with elementary tops

Group Theory 2022-07-27 v2 Representation Theory

Abstract

The description of nilpotent Chernikov pp-groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the residue field Fp\mathbb{F}_p. If p2p\ne2 and the bottom of the group only consists of 22 quasi-cyclic summands, a complete classification is given. We use the technique of quivers with relations.

Keywords

Cite

@article{arxiv.1409.7188,
  title  = {On nilpotent Chernikov $p$-groups with elementary tops},
  author = {Yuriy Drozd and Andriana Plakosh},
  journal= {arXiv preprint arXiv:1409.7188},
  year   = {2022}
}

Comments

10 pages, minor misprints corrected

R2 v1 2026-06-22T06:05:27.520Z