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arxiv: 1509.06213 · v2 · pith:ZYCCKBAFnew · submitted 2015-09-21 · 🧮 math.GR · math.GT

Crystallographic groups and flat manifolds from complex reflection groups

classification 🧮 math.GR math.GT
keywords groupgroupsbraidcomplexcrystallographicreflectionalvezarbitrary
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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.

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