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Finite Simple Groups, Geometries, Buildings, and Related Topics, Conference in Honor of Ernest Shult
March 22-24, 2001
Kansas State University
Manhattan, KS, USA

Organizers
Michael Aschbacher, Andrew Chermak, Zongzhu Lin, Bernd Stellmacher

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Rigidity of Coxeter systems
by
Bernhard Mühlherr
Universität Dortmund

A Coxeter system is called rigid if the corresponding abstract Coxeter group determines the diagram up to isomorphism. There is a natural way of producing non-rigid Coxeter systems by a process which is called diagram twisting (joint work with N. Brady, J. McCammond and W. Neumann) and there is now the natural conjecture that Coxeter systems a rigid up to diagram twisting. I will describe the diagram twisting procedure and report about recent results, which can be considered as steps towards a proof of this conjecture.

Date received: March 6, 2001

Copyright © 2001 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 # cagg-15.