Locally finite groups in which every non-cyclic subgroup is self-centralizing

TL;DR

This paper classifies locally finite groups where each non-cyclic subgroup is self-centralizing, providing a complete understanding of their structure and properties.

Contribution

It offers a complete classification of locally finite groups with the property that every non-cyclic subgroup contains its centralizer.

Findings

Complete classification of such groups

Characterization of subgroup centralizers

Structural insights into non-cyclic subgroups

Abstract

Locally finite groups having the property that every non-cyclic subgroup contains its centralizer are completely classified.