Type: Seminar

Distribution: World

Expiry: 27 Apr 2007

CalTitle1: Algebra Seminar: Howlett -- Automorphisms of Coxeter groups

Auth: anthonyh@asti.maths.usyd.edu.au

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. |