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SEMINAR: Groups and Combinatorics Seminar, Generalised n-gons and the Feit-Higman theorem

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Today's date is Thursday, January 23, 2020
Groups and Combinatorics Seminar, Generalised n-gons and the Feit-Higman theorem Other events...
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.

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 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.
Speaker(s) Jon Xu
Location MLR2
Contact Irene Pivotto <irene.pivotto@uwa.edu.au>
Start Fri, 08 Mar 2013 15:00
End Fri, 08 Mar 2013 16:00
Submitted by Irene Pivotto <irene.pivotto@uwa.edu.au>
Last Updated Fri, 01 Mar 2013 11:42
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