SEMINAR: Groups and Combinatorics Seminar, Generalised n-gons and the Feit-Higman theorem
|Groups and Combinatorics Seminar, Generalised n-gons and the Feit-Higman theorem
Name: Jon Xu (University of Melbourne/University of Western Australia)
will speak on
Generalised n-gons and the Feit-Higman theorem
at 3pm on Friday 8th of March.
Jacques Tits' theory of buildings played a vital role in the proof of the classification theorem on finite simple groups. The class of rank 2 buildings are also known as generalised n-gons.
In my talk, generalised n-gons will be defined as a certain class of bipartite graphs, so as to skip the (rather abstruse) building-theoretic definition. I will also state and outline a proof of the Feit-Higman theorem, which states that the majority of generalised n-gons can only exist for certain n. The proof, due to Kilmoyer and Solomon (1973), weaves together representation theory and graph theory.
To finish off, I will talk a little about what I've been doing here at UWA.
- Locations of venues on the Crawley and Nedlands campuses are
available via the Campus Maps website.
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