Chordal Coxeter Groups

Details Chordal Coxeter Groups Chordal Coxeter Groups

2006-07-12

arxiv.org/abs/math/0607301v2

Mathematics

Group Theory

Scientific paper

A solution of the isomorphism problem is presented for the class of Coxeter groups W that have a finite set of Coxeter generators S such that the underlying graph of the presentation diagram of the system (W,S) has the property that every cycle of length at least four has a cord. As an application, we construct counterexamples to two main conjectures concerning the isomorphism problem for Coxeter groups.

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