Bob Howlett (University of Sydney)

Friday 27th April, 12.05-12.55pm, Carslaw 375

Automorphisms of Coxeter groups

A Coxeter group is a group generated by a set S subject to defining relations of the form: s²=1 for all s in S, and (st)^m_st=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.