I. Snopce

activity

20122023

p

groups with quadratic cohomology

15 citations · 32 across the 11 of their papers we have counts for

collaborators

15 papers

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.GR2022

Frattini-resistant direct products of pro- $p$ groups

Ilir Snopce, Slobodan Tanushevski

A pro- $p$ group $G$ is called strongly Frattini-resistant if the function $H \mapsto Φ (H)$ , from the poset of all closed subgroups of $G$ into itself, is a poset embedding. Frattin…

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★ 2 cited

Frattini-injectivity and Maximal pro- $p$ Galois groups

Ilir Snopce, Slobodan Tanushevski

We call a pro- $p$ group $G$ Frattini-injective if distinct finitely generated subgroups of $G$ have distinct Frattinis. This paper is an initial effort toward a systematic study of…

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★ 5 cited

Right-angled Artin pro- $p$ groups

Ilir Snopce, Pavel Zalesskii

Let $p$ be a prime. The right-angled Artin pro- $p$ group $G_{Γ}$ associated to a fnite simplicial graph $Γ$ is the pro- $p$ completion of the right-angled Artin group associated to $Γ…

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

Frattini-resistant direct products of pro-p groups

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

Frattini-injectivity and Maximal pro-p Galois groups

Index-stable compact p-adic analytic groups