4 papers
A cohomological translation of the Kaplansky radical for profinite groups
Simone Blumer, Julian Feuerpfeil, Lucas Correa Lopes +1
The Kaplansky radical of a field consists of the nonzero elements represented by every norm quadratic form in two variables. D. Kijima and M. Nishi conjectured that, for quadratic…
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…
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…
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…