SEMINAR: Groups and Combinatorics Seminar, Generalised ngons and the FeitHigman theorem


Groups and Combinatorics Seminar, Generalised ngons and the FeitHigman theorem 
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Name: Jon Xu (University of Melbourne/University of Western Australia)
will speak on
Generalised ngons and the FeitHigman theorem
at 3pm on Friday 8th of March.
Abstract:
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 ngons.
In my talk, generalised ngons will be defined as a certain class of bipartite graphs, so as to skip the (rather abstruse) buildingtheoretic definition. I will also state and outline a proof of the FeitHigman theorem, which states that the majority of generalised ngons 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.
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