J. W. MacQuarrie

collaborators

3 papers

math.GR2025

The profinite genus of the groups $Z^{n} ⋊ C_{p^{2}}$

Marlon Estanislau, John MacQuarrie, Anderson Porto

A formula is given for the profinite genus of groups of the form $Z^{n} ⋊ C_{p^{2}}$ , completing the calculation of the size of the genus of semidirect products of the f…

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 $k$ -algebra $Λ$ , where $k$ is a field. We a…

The profinite genus of the groups Zn⋊Cp2​

Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups

Projective resolutions of simple modules and Hochschild cohomology for incidence algebras

The profinite genus of the groups $Z^{n} ⋊ C_{p^{2}}$