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 ${\mathbb{F}}_p$. If $p\mathrm{\ne }2$ 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.