Automorphisms of graph-universal Coxeter groups

by Bernhard Mühlherr.

Abstract:
A Coxeter matrix $M = (m_{ij})$ is called graph-universal if $m_{ij} \in \{ 2,\infty \}$ for all $i \neq j$. We give a presentation of the group of automorphisms of for any Coxeter group associated to a graph-universal diagram.

Key words and phrases: Coxeter groups, Automorphisms, Presentations

1991 Mathematics Subject Classification: 20F55; 20F05, 20F28.

Published in: J. Algebra 200 (1998), no. 2, 629--649.

Contact: Bernhard.Muehlherr@Mathematik.Uni-Dortmund.DE