3 papers
math.GR2026
Solid Duality for Profinite Groups
Ged Corob Cook, Max Gheorghiu, SofÃa 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 w…
math.GR2026
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…
math.GR2026
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…