Twist-rigid Coxeter groups

Details Twist-rigid Coxeter groups Twist-rigid Coxeter groups

2009-11-02

arxiv.org/abs/0911.0354v1

Mathematics

Group Theory

28 pages, 1 figure

Scientific paper

We prove that two angle-compatible Coxeter generating sets of a given
finitely generated Coxeter group are conjugate provided one of them does not
admit any elementary twist. This confirms a basic case of a general conjecture
which describes a potential solution to the isomorphism problem for Coxeter
groups.

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