5 papers
Algorithms for fusion systems with applications to -groups of small order
Chris Parker, Jason Semeraro
For a prime , we describe a protocol for handling a specific type of fusion system on a -group by computer. These fusion systems contain all saturated fusion systems. This fr…
A -compact group as a spets
Jason Semeraro
In 1993, Broué, Malle and Michel initiated the study of spetses on the Greek island bearing the same name. These are mysterious objects attached to non-real Weyl groups. In algebra…
Weight conjectures for fusion systems
Radha Kessar, Markus Linckelmann, Justin Lynd +1
Many of the conjectures of current interest in the representation theory of finite groups in characteristic are local-to-global statements, in that they predict consequences fo…
Fusion systems on maximal class -groups of rank two revisited
Chris Parker, Jason Semeraro
We complete the determination of saturated fusion systems on maximal class 3-groups of rank two.
Conway's groupoid and its relatives
Nick Gill, Neil I. Gillespie, Jason Semeraro +1
In 1997, John Conway constructed a -fold transitive subset of permutations on a set of size for which the subset fixing any given point was isomorphic to the Mathi…