Finite Groups with Abelian Automorphism Groups: A Survey

TL;DR

This survey reviews the progress in understanding non-abelian finite groups whose automorphism groups are abelian, highlighting key developments, open problems, and future research directions.

Contribution

It provides a comprehensive overview of the recent advances and unresolved questions in the study of finite groups with abelian automorphism groups.

Findings

Summarizes key classifications of such groups

Identifies open problems in the field

Suggests directions for future research

Abstract

In this article we present an extensive survey on the developments in the theory of non-abelian finite groups with abelian automorphism groups, and pose some problems and further research directions.