A. D’Alessandro

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math.GR2026

Substitution groups of formal power series

AgustÃn 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.GR2024

The automorphism group of certain polycyclic groups

Khalid Benabdallah, Agustin D'Alessandro, Fernando Szechtman

For $I^^{2} \in Z$ , let $G (I^^{2}) = ⟨ A, B ∣ A^{[A, B]} = A, B^{[B, A]} = B^{2} ⟩$ be the infinite Macdonald group, and set $C = [A, B]$ . Then $G (I^^{2})$ is a nilpotent polycyclic…