English

Reduction Theorems for Generalised Block Fusion Systems

Representation Theory 2022-05-25 v2 Group Theory

Abstract

We generalise the Third Main Theorem by Brauer, the First and Second Fong Reduction to generalised block fusion systems and apply the Second Fong Reduction to extend a result by Cabanes about the non-exoticity of fusion systems of unipotent blocks for finite groups of Lie type.

Keywords

Cite

@article{arxiv.2201.04930,
  title  = {Reduction Theorems for Generalised Block Fusion Systems},
  author = {Patrick Serwene},
  journal= {arXiv preprint arXiv:2201.04930},
  year   = {2022}
}
R2 v1 2026-06-24T08:48:51.276Z