par Marquis, Timothée;Muhlherr, Bernhard
Référence Algebraic and geometric topology, 8, 4, page (2175-2208)
Publication Publié, 2008
Article révisé par les pairs
Résumé : The isomorphism problem for Coxeter groups has been reduced to its "reflection preserving version" by B Howlett and the second author. Thus, in order to solve it, it suffices to determine for a given Coxeter system (W,R) all Coxeter generating s e t s S of W which are contained in RW, the set of reflections of (W,R). In this paper, we provide a further reduction: it suffices to determine all Coxeter generating sets S ⊆ RW which are sharpangled with respect to R. © 2008 Mathematical Sciences Publishers.