Fernando Szechtman

collaborators

3 papers

math.GR2026

Substitution groups of formal power series

Agustín D'Alessandro, Fernando Szechtman

Let $G$ be the group of power series $x + a_{2} x^{2} + a_{3} x^{3} + \dots \in R [[x]]$ under substitution, where $R$ is a commutative ring with $1 \neq = 0$ of prime characteristic $p$ . Given any $n…

math.GR2026

A family of groups extending McLain's

Leandro Cagliero, Fernando Szechtman

Given a strict partial order $Δ$ on a set $Λ$ and an arbitrary ring $R$ with $1 \neq = 0$ , the corresponding McLain group $M (Δ)$ has been studied in depth. We construct a larger famil…

math.GR2024

The automorphism group of certain polycyclic groups

Khalid Benabdallah, Agustin D'Alessandro, Fernando Szechtman

For $β \in Z$ , let $G (β) = ⟨ A, B ∣ A^{[A, B]} = A, B^{[B, A]} = B^{β} ⟩$ be the infinite Macdonald group, and set $C = [A, B]$ . Then $G (β)$ is a nilpotent polycyclic gro…