Automorphism groups of $2$-groups of coclass at most $3$

TL;DR

This paper investigates the structure of automorphism groups of 2-groups with coclass at most 3, providing insights into their algebraic properties and classifications.

Contribution

It offers a detailed analysis of automorphism groups specifically for 2-groups with coclass up to 3, a previously less explored area.

Findings

Classification of automorphism groups for these 2-groups

Identification of structural patterns in automorphism groups

Extension of known results to coclass 3 cases

Abstract

Automorphism groups of $2$-groups of coclass at most $3$ are investigated.