E. D. Melo

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math.GR2025

Automorphism Orbits of the Group of Unitriangular Matrices

Emerson de Melo, JÃºlia Kato

Let $G$ be a group. The orbits of the natural action of $A u t (G)$ on $G$ are called the automorphism orbits of $G$ , and their number is denoted by $I ¨ (G)$ . Let $F$ be an in…

math.GR2025

On a Class of Self-Similar Polycyclic Groups

A. C. Dantas, E. de Melo, R. N. de Oliveira +1

A group $G$ is self-similar if it admits a triple $(G, H, f)$ where $H$ is a subgroup of $G$ and $f : H \to G$ a simple homomorphism, that is, the only subgroup $K$ of $H$ , normal in…