The automorphism group of the group of unitriangular matrices over a field

TL;DR

This paper determines the generators of the automorphism group of the group of unitriangular matrices over a field, building on and extending previous work by V.M. Levhuk, including some original proofs.

Contribution

It provides a detailed exposition and new proofs for the generators of the automorphism group of unitriangular matrices, clarifying and extending prior results.

Findings

Identified generators of the automorphism group

Extended previous work of V.M. Levhuk

Provided original proofs for key results

Abstract

This paper finds the generators of the automorphism group of the group of unitriangular matrices over a field. Most of this paper is an exposition of the work of V.M. Lev\u{c}huk, part of which is in Russian. Some proofs are of my own.