Elena Maini

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math.GR2025

The growth of residually soluble groups

Sean Eberhard, Elena Maini

Building on work of Wilson, we show that if $G$ is a finitely generated residually soluble group whose growth function $γ$ satisfies $(lo g γ (n)) / n^{1/4} \to 0$ as $n \to \infty$ …

math.GR2024

Multi-EGS-groups: exponent of congruence quotients

Elena Maini

Given a multi-EGS-group $K$ acting on the $p$ -adic rooted tree, where $p$ is any prime number, we compute the exponent of the congruence quotient $K_n= K/ \St_K(n)$ for all $n\ge 1…