On the automorphism group of the monoid of the integers modulo a prime power

Joseph Atalaye, Liam Baker, Sophie Marques

This paper determines the structure of the automorphism group of the unit group \((U_{p^e}, \cdot)\) and the monoid \((\mathbb{Z}/p^e \mathbb{Z}, \cdot)\). For \( e \geq 5 \), we e…