15 citations · 32 across the 11 of their papers we have counts for
5 papers · 2 filters
On the self-similarity index of -adic analytic pro- groups
Francesco Noseda, Ilir Snopce
Let be a prime. We say that a pro- group is self-similar of index if it admits a faithful self-similar action on a -ary regular rooted tree such that the action i…
Frattini-injectivity and Maximal pro- Galois groups
Ilir Snopce, Slobodan Tanushevski
We call a pro- group Frattini-injective if distinct finitely generated subgroups of have distinct Frattinis. This paper is an initial effort toward a systematic study of…
Index-stable compact -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 be a prime, and let be a compact -adic analytic group with associated $\m…
Right-angled Artin pro- groups
Ilir Snopce, Pavel Zalesskii
Let be a prime. The right-angled Artin pro- group associated to a fnite simplicial graph is the pro- completion of the right-angled Artin group associated to $Γ…
On hereditarily self-similar -adic analytic pro- groups
Francesco Noseda, Ilir Snopce
A non-trivial finitely generated pro- group is said to be strongly hereditarily self-similar of index if every non-trivial finitely generated closed subgroup of admi…