Ricardo J. Franquiz Flores

collaborators

2 papers

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.RT2021

Block theory and Brauer's first main theorem for profinite groups

Ricardo J. Franquiz Flores, John W. MacQuarrie

We develop the local-global theory of blocks for profinite groups. Given a field $k$ of characteristic $p$ and a profinite group $G$ , one may express the completed group algebra $k…