Reduction Theorems for Generalised Block Fusion Systems

2022/01/13 by Serwene, Patrick
#FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2201.04930

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.

Related

• Block fusion systems over maximal nilpotency class 3-groups
• Fusion systems of blocks with nontrivial strongly closed subgroups
• Realizing fusion systems inside finite groups
• Block-Exoticity of a Family of Exotic Fusion Systems
• Proving a conjecture for fusion systems on a class of groups