Automorphism groups of groups of order $p^{2}q^{2}$

TL;DR

This paper computes the automorphism groups of all groups of order p^2 q^2, where p and q are distinct primes, providing a complete classification for these specific group orders.

Contribution

It offers the first complete determination of automorphism groups for all groups of order p^2 q^2, filling a gap in group theory classifications.

Findings

Automorphism groups are explicitly computed for all groups of order p^2 q^2.

The classification covers all possible group structures of that order.

Results facilitate further research in symmetry and group actions.

Abstract

In this paper, we have computed the automorphism groups of all groups of order $p^{2}q^{2}$, where $p$ and $q$ are distinct primes.