Embeddings and chains of free groups

TL;DR

This paper constructs specific non-abelian CSA-groups with unique properties regarding their abelian subgroups, advancing understanding of group structures.

Contribution

It introduces two novel non-abelian CSA-groups where maximal abelian subgroups are conjugate and divisible, providing new examples in group theory.

Findings

Constructed two non-abelian CSA-groups with conjugate maximal abelian subgroups

Demonstrated divisibility of maximal abelian subgroups in these groups

Enhanced understanding of subgroup conjugacy and divisibility in CSA-groups

Abstract

We build two non-abelian CSA-groups in which maximal abelian subgroups are conjugate and divisible.