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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.GR2025
Subgroups of Bestvina-Brady groups
Simone Blumer
In "Subgroups of Graph Groups", 1987, J. Alg., Droms proved that all the subgroups of a right-angled Artin group (RAAG) defined by a finite simplicial graph are themselves RAA…