4 papers
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…
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…