On nilpotent Chernikov $p$-groups with elementary tops

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 $p\ne 2$ 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.

10 pages, minor misprints corrected

References in corpus (1)

• Classification problems for system of forms and linear mappings

Cited by in corpus (2)

• Congruence of matrix spaces, matrix tuples, and multilinear maps
• On nilpotent Chernikov 2-groups with elementary tops