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math.GR2026
Variations of Demushkin Groups that are not Absolute Galois Groups
Simone Blumer, Claudio Quadrelli
We construct two families of examples of pro-p groups, with rather elementary presentations, that do not complete into 1-cyclotomic oriented pro-p groups. These provide brand new e…
math.GR2025
Droms Theorems for twisted right-angled Artin groups
Simone Blumer, Islam Foniqi, Claudio Quadrelli
We characterize twisted right-angled Artin groups whose finitely generated subgroups are also twisted right-angled Artin groups. Additionally, we give a classification of coherence…
math.GR2024
Directed graphs, Frattini-resistance, and maximal pro- Galois groups
Claudio Quadrelli
Let be a prime. Following Snopce-Tanushevski, a pro- group is called Frattini-resistant if the function , from the poset of all closed finitely-generated…