I. Snopce

activity

20122023

p

groups with quadratic cohomology

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

collaborators

Showing 2020Show all

5 papers · 1 filter

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…

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…

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

Right-angled Artin pro-p groups

On hereditarily self-similar p-adic analytic 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

Right-angled Artin pro- $p$ groups

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