par Caprace, Pierre-Emmanuel ;Muhlherr, Bernhard
Référence Proceedings of the London Mathematical Society, 94, 3, page (520-542)
Publication Publié, 2007-03
Article révisé par les pairs
Résumé : We prove that each finitely generated, irreducible and 2-spherical Coxeter system (W, S) is strongly reflection rigid whenever the group W is of infinite order. This means in particular that all reflection-preserving automorphisms of such a group are inner-by-graph. Our result can be seen as a first major step towards a proof of the conjecture that all infinite, irreducible Coxeter systems are strongly reflection rigid if they do not admit diagram twists.