Francesco Noseda

activity

20112024

p

-adic analytic pro-

p

groups of small dimension

7 citations · 12 across the 7 of their papers we have counts for

collaborators

8 papers

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.GR2023

On the self-similarity of the norm one group of $p$ -adic division algebras

Francesco Noseda, Ilir Snopce

Let $p$ be a prime, $D$ a finite dimensional noncommutative division $Q_{p}$ -algebra, and $S L_{1} (D)$ the group of elements of $D$ of reduced norm $1$ . When the center of $D$ …

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…

math.GR2018★ 7 cited

On self-similarity of $p$ -adic analytic pro- $p$ groups of small dimension

Francesco Noseda, Ilir Snopce

Given a torsion-free $p$ -adic analytic pro- $p$ group $G$ with $dim (G) < p$ , we show that the self-similar actions of $G$ on regular rooted trees can be studied through the…

math.DG2015★ 5 cited

Principal actions of stacky Lie groupoids

Henrique Bursztyn, Francesco Noseda, Chenchang Zhu

Stacky Lie groupoids are generalizations of Lie groupoids in which the "space of arrows" of the groupoid is a differentiable stack. In this paper, we consider actions of stacky Lie…

math.NT2011

Bases for Riemann-Roch spaces of one point divisors on an optimal tower of function fields

Francesco Noseda, Gilvan Oliveira, Luciane Quoos

For applications in algebraic geometric codes, an explicit description of bases of Riemann-Roch spaces of divisors on function fields over finite fields is needed. We give an algor…

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

On the self-similarity of the norm one group of p-adic division 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

On self-similarity of p-adic analytic pro-p groups of small dimension

Principal actions of stacky Lie groupoids

Bases for Riemann-Roch spaces of one point divisors on an optimal tower of function fields

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

On the self-similarity of the norm one group of $p$ -adic division 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

On self-similarity of $p$ -adic analytic pro- $p$ groups of small dimension