Geodesic
Twist-rigid Coxeter groups
Caprace, Pierre-Emmanuel1 ; Przytycki, Piotr2
1 Département de Mathématiques, Université catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium
2 Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warsaw, Poland
Geometry & topology, Tome 14 (2010) no. 4, pp. 2243-2275.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2010.14.2243
Keywords: Coxeter groups, isomorphism problem, twists, rigidity, hierarchy

Caprace, Pierre-Emmanuel 1 ; Przytycki, Piotr 2

1 Département de Mathématiques, Université catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium
2 Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warsaw, Poland 
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Caprace, Pierre-Emmanuel; Przytycki, Piotr. Twist-rigid Coxeter groups. Geometry & topology, Tome 14 (2010) no. 4, pp. 2243-2275. doi : 10.2140/gt.2010.14.2243. http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.2243/

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