The isomorphism problem for Coxeter groups

Abstract

By a recent result obtained by R. Howlett and the author considerable progress has been made towards a complete solution of the isomorphism problem for Coxeter groups. In this paper we give a survey on the isomorphism problem and explain in particular how the result mentioned above reduces it to its `reflection preserving' version. Furthermore we desrcibe recent developments concerning the solution of the latter.

15 pages, 0 figures, to appear in 'The Coxeter Legacy: Reflections and Projections', Fields Institute Communications

Cited by in corpus (2)

• Irreducible Coxeter groups
• Reflections in abstract Coxeter groups