|
Organizers |
Coxeter groups and their decompositions
by
Angela Kubena Barnhill
The Ohio State University
Every Coxeter group admits a natural decomposition as a complex of groups, and we consider such decompositions. In particular, given a nonpositively curved decomposition of a Coxeter group W, we find related decompositions of W in which the local groups are special subgroups of W. This gives an analogue for complexes of groups of the Visual Decomposition Theorem of Mihalik and Tschantz.
Date received: December 27, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # catr-19.