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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.GR2025
Cohen--Macaulay Complexes, Duality Groups, and the dualizing module of
Richard D. Wade, Thomas A. Wasserman
We explain how Cohen--Macaulay classifying spaces are ubiquitous among discrete groups that satisfy Bieri--Eckmann duality, and compare Bieri--Eckmann duality to duality results fo…