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math.RA2024
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…
math.CT2024
A Categorical Perspective on Gluing
Sophie Marques, Damas Mgani
This paper introduces the concept of gluing in a general category, enabling us to define categories that admit glued-up objects. To achieve this, we introduce the notion of a gluin…