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math.RT2025
Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups
Florian Eisele, Ricardo J. Franquiz Flores, John W. MacQuarrie
We introduce block pro-fusion systems for blocks of profinite groups, prove a profinite version of Puig's structure theorem for nilpotent blocks, and use it to show that there is o…
math.RT2024
Projective resolutions of simple modules and Hochschild cohomology for incidence algebras
Viktor Bekkert, John William MacQuarrie, Júlio Marques
We give a practical, algorithmic method to calculate minimal projective resolutions of simple modules for a finite dimensional incidence -algebra , where is a field. We a…