Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Noseda, Francesco"'
Autor:
Livramento, Karina, Noseda, Francesco
We exhibit infinite lists of ramification indices $\delta$ for which the classical Lie groups over the ring of integers of $p$-adic fields admit a faithful self-similar action on a regular rooted $\delta$-ary tree in such a way that the action is tra
Externí odkaz:
http://arxiv.org/abs/2410.22639
Autor:
Noseda, Francesco, Snopce, Ilir
Let $p$ be a prime, $D$ a finite dimensional noncommutative division $\mathbb{Q}_p$-algebra, and $SL_1(D)$ the group of elements of $D$ of reduced norm $1$. When the center of $D$ is $\mathbb{Q}_p$, we prove that no open subgroup of $SL_1(D)$ admits
Externí odkaz:
http://arxiv.org/abs/2303.14852
Autor:
Noseda, Francesco, Snopce, Ilir
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 is transitive on the first level. The self-similarity index of a self-s
Externí odkaz:
http://arxiv.org/abs/2012.00919
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 $\mathbb{Q}_p$-Lie algebra $\mathcal{L}(G)$. We prove that $G$ is index-s
Externí odkaz:
http://arxiv.org/abs/2006.08000
Autor:
Noseda, Francesco, Snopce, Ilir
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 $G$ admits a faithful self-similar action on a $p$-ary tree. We classify the s
Externí odkaz:
http://arxiv.org/abs/2002.02053
Autor:
Noseda, Francesco, Snopce, Ilir
Publikováno v:
Journal of Algebra 540 (2019) 317-345
Given a torsion-free $p$-adic analytic pro-$p$ group $G$ with $\mathrm{dim}(G) < p$, we show that the self-similar actions of $G$ on regular rooted trees can be studied through the virtual endomorphisms of the associated $\mathbb{Z}_p$-Lie lattice. W
Externí odkaz:
http://arxiv.org/abs/1812.09921
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 groupoids on differentiable stacks and their associated quotients. We
Externí odkaz:
http://arxiv.org/abs/1510.09208
Autor:
Noseda, Francesco, Snopce, Ilir
Publikováno v:
In Journal of Algebra 15 December 2019 540:317-345
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 algorithm to compute such bases for one point divisors, and Weierstrass sem
Externí odkaz:
http://arxiv.org/abs/1106.6335
Autor:
Noseda, Francesco, Snopce, Ilir
Publikováno v:
Groups, Geometry, and Dynamics. 16:85-114
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 $G$ admits a faithful self-similar action on a $p$-ary tree. We classify the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52406be5a3dbfed3dc19ab4964ca0dd5
https://doi.org/10.4171/ggd/641
https://doi.org/10.4171/ggd/641