11 citations · 15 across the 9 of their papers we have counts for
9 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…
Restricted graph Lie algebras in characteristic two
Simone Blumer
We investigate restricted Lie algebras arising as analogues of (twisted) right-angled Artin groups and right-angled Coxeter groups over fields of characteristic two. These algebras…
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…
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 RAAG…
Koszul Lie algebras and their subalgebras
Simone Blumer
This paper examines (restricted) Koszul Lie algebras, a class of positively graded Lie algebras with a quadratic presentation and specific cohomological properties. The study emplo…
Oriented right-angled Artin pro- groups and maximal pro- Galois groups
Simone Blumer, Claudio Quadrelli, Thomas S. Weigel
For a prime number we introduce and study oriented right-angled Artin pro- groups (oriented pro- RAAGs for short) associated to a finite oriented graph…
Kurosh theorem for certain Koszul Lie algebras
Simone Blumer
The Kurosh theorem for groups provides the structure of any subgroup of a free product of groups and its proof relies on Bass-Serre theory of groups acting on trees. In the case of…
Groups of p-absolute Galois type that are not absolute Galois groups
Simone Blumer, Alberto Cassella, Claudio Quadrelli
Let p be a prime. We study pro-p groups of p-absolute Galois type, as defined by Lam-Liu-Sharifi-Wake-Wang. We prove that the pro-p completion of the right-angled Artin group assoc…