4 papers
Solid Duality for Profinite Groups
Ged Corob Cook, Max Gheorghiu, Sofía Marlasca Aparicio +1
We classify profinite groups that have a Poincaré-like duality between their homology and cohomology. Our proofs work over every profinite coefficient ring, and for profinite as we…
On a Completion of Cohomological Functors Generalising Tate Cohomology II
Max Gheorghiu
Viewing group cohomology as a cohomological functor, G. Mislin has generalised Tate cohomology from finite groups to all discrete groups by defining a completion for cohomological…
On a Completion of Cohomological Functors Generalising Tate Cohomology I
Max Gheorghiu
Tate cohomology has been generalised by several authors using different constructions that have applications in group theory, ring theory and homotopical algebra. Therefore, there…
Loose ear decompositions and their applications to right-angled Artin groups
Max Gheorghiu
We characterize planar graphs and graph minors among other graph theoretic notions in terms of right-angled Artin groups (RAAGs). For this, we determine all sets of elements in RAA…