Crystallographic groups and flat manifolds from complex reflection groups

Ivan Marin (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

Following an idea of Gon double dagger alves, Guaschi and Ocampo on the usual braid group we construct crystallographic and Bieberbach groups as (sub)quotients of the generalized braid group associated to an arbitrary complex reflection group.

Domaines: Mathématiques [math]

Ivan Marin. Crystallographic groups and flat manifolds from complex reflection groups. Geometriae Dedicata, 2016, 182 (1), pp.233-247. ⟨10.1007/s10711-015-0136-y⟩. ⟨hal-03621321⟩