Crystallographic groups and flat manifolds from complex reflection groups
Group Theory
2015-12-29 v2 Geometric Topology
Abstract
Following an idea of Gon\c{c}alvez, 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.
Cite
@article{arxiv.1509.06213,
title = {Crystallographic groups and flat manifolds from complex reflection groups},
author = {Ivan Marin},
journal= {arXiv preprint arXiv:1509.06213},
year = {2015}
}
Comments
13 pages. V2 : minor improvements