4 papers
The profinite genus of the groups
Marlon Estanislau, John MacQuarrie, Anderson Porto
A formula is given for the profinite genus of groups of the form , completing the calculation of the size of the genus of semidirect products of the f…
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…
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…
Homological properties of extensions of algebras
Kostiantyn Iusenko, John W. MacQuarrie
We consider a class of extensions of associative algebras, which we refer to as ``strongly proj-bounded extensions''. We prove that the finiteness of the left global dimension and…