On nilpotent Chernikov 2-groups with elementary tops

TL;DR

This paper provides an explicit description of a specific class of nilpotent Chernikov 2-groups with elementary tops and a basis of rank 2, advancing understanding of their structure.

Contribution

It offers a detailed characterization of nilpotent Chernikov 2-groups with elementary tops and rank 2 basis, which was previously not explicitly described.

Findings

Explicit description of nilpotent Chernikov 2-groups with elementary tops

Structural insights into groups with basis of rank 2

Enhanced classification of Chernikov 2-groups

Abstract

We give an explicit description of nilpotent Chernikov 2-groups with elementary tops and the basis of rank 2.