REPRESENTATION AND CLASSIFICATION OF COXETER MONOIDS

The monoids under consideration are defined, abstractly by generators and relations in a similar way to Coxeter groups. They correspond to systems of minimal parabolic subgroups in BN-pairs or amalgams, and are related to chamber systems. More examples are connected with a notion of diagram geometry. The theory developed in this paper is aimed at a classification of monoids that have an attractor. The latter means that the corresponding group is finite. © 1990, Academic Press Inc. (London) Limited. All rights reserved.