Sydney University Algebra Seminar

    University of Sydney

    School of Mathematics and Statistics

    Algebra Seminar

    Bob Howlett
    University of Sydney

    Automorphisms of Coxeter groups.

    Friday 12th May, 12-1pm, Carslaw 175.

    Apart from the symmetric group on 6 letters, I don't know of any Coxeter group that has an interesting outer automorphism. In this talk I shall survey what I know about outer automorphisms of Coxeter groups, and outline a proof of the following fact: if W is an infinite rank 3 Coxeter group whose Coxeter graph contains no infinite bonds then the automorphism group of W is generated by graph automorphisms and inner automorphisms.