SMS scnews item created by Anthony Henderson at Tue 24 Apr 2007 1041
Type: Seminar
Distribution: World
Expiry: 27 Apr 2007
Calendar1: 27 Apr 2007 1205-1255
CalLoc1: Carslaw 375
CalTitle1: Algebra Seminar: Howlett -- Automorphisms of Coxeter groups
Auth: anthonyh@asti.maths.usyd.edu.au

Algebra Seminar

Automorphisms of Coxeter groups

Bob Howlett

27th April, 12:05-12:55pm, Carslaw 375


Abstract

A Coxeter group is a group generated by a set S subject to defining relations of the form: sē=1 for all s in S, and (st)mst=1 for some or all pairs s,t in S. Remarkably, every Coxeter group can be faithfully represented as a group of linear transformations on a real vector space. In studying automorphisms of Coxeter groups - or, more generally, the isomorphisms between Coxeter groups - the challenge is to use group-theoretic data to characterize the group geometrically.

This talk will describe progress on this, as yet unfinished, project.


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