Crystallographic groups and flat manifolds from complex reflection\n groups

2015/09/21 by Iván Marín, Marin, Ivan
Mathematics · #20F36 #20F55 #20H15 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1509.06213

openalex publication_date 2015/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following an idea of Gon ccalvez, Guaschi and Ocampo on the usual braid\ngroup we construct crystallographic and Bieberbach groups as (sub)quotients of\nthe generalized braid group associated to an arbitrary complex reflection\ngroup.\n

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