4 papers
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…
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…
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…
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…