The automorphism group of certain 3-generator $p$-groups

TL;DR

This paper provides a detailed presentation and structural analysis of the automorphism groups for a specific family of 3-generator finite p-groups, expanding understanding of their symmetries.

Contribution

It introduces a new explicit presentation and structural description of automorphism groups for certain 3-generator p-groups, which was previously not well-understood.

Findings

Explicit presentation of automorphism groups provided

Structural description of automorphism groups established

Enhances understanding of symmetries in 3-generator p-groups

Abstract

A presentation as well as a structural description of the automorphism group of a family of 3-generator finite $p$-groups is given, $p$ being an odd prime.