Francesco Noseda

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20112024

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math.GR2024

Self-similarity of the classical $p$ -adic Lie groups and Lie algebras

Karina Livramento, Francesco Noseda

We exhibit infinite lists of ramification indices $δ$ for which the classical Lie groups over the ring of integers of $p$ -adic fields admit a faithful self-similar action on a regu…

math.GR2020

On the self-similarity index of $p$ -adic analytic pro- $p$ groups

Francesco Noseda, Ilir Snopce

Let $p$ be a prime. We say that a pro- $p$ group is self-similar of index $p^{k}$ if it admits a faithful self-similar action on a $p^{k}$ -ary regular rooted tree such that the action i…

math.GR2020

Index-stable compact $p$ -adic analytic groups

Francesco Noseda, Ilir Snopce, Jean-Pierre Serre

A profinite group is index-stable if any two isomorphic open subgroups have the same index. Let $p$ be a prime, and let $G$ be a compact $p$ -adic analytic group with associated $\m…

math.GR2020

On hereditarily self-similar $p$ -adic analytic pro- $p$ groups

Francesco Noseda, Ilir Snopce

A non-trivial finitely generated pro- $p$ group $G$ is said to be strongly hereditarily self-similar of index $p$ if every non-trivial finitely generated closed subgroup of $G$ admi…

Self-similarity of the classical p-adic Lie groups and Lie algebras

On the self-similarity index of p-adic analytic pro-p groups

Index-stable compact p-adic analytic groups

On hereditarily self-similar p-adic analytic pro-p groups

Self-similarity of the classical $p$ -adic Lie groups and Lie algebras

On the self-similarity index of $p$ -adic analytic pro- $p$ groups

Index-stable compact $p$ -adic analytic groups

On hereditarily self-similar $p$ -adic analytic pro- $p$ groups