Crystallographic groups and flat manifolds from complex reflection groups

DOI10.1007/S10711-015-0136-YzbMath1353.20020arXiv1509.06213OpenAlexW2962995521MaRDI QIDQ292067

Ivan Marin

Publication date: 10 June 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06213

zbMATH Keywords

braid groupscrystallographic groupsreflection groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15)

Related Items (10)

Unrestricted virtual braids and crystallographic braid groups ⋮ Crystallographic groups and flat manifolds from surface braid groups ⋮ The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient \(B_n/[P_{n},P_{n}\)] ⋮ Torsion subgroups of quasi-abelianized braid groups ⋮ Virtual braid groups, virtual twin groups and crystallographic groups ⋮ Almost-crystallographic groups as quotients of Artin braid groups ⋮ A quotient of the Artin braid groups related to crystallographic groups ⋮ Embeddings of finite groups in \(B_n/\Gamma_k(P_n)\) for \(k=2,3\) ⋮ On Bieberbach subgroups of \(B _n/[P _n,P _n\) and flat manifolds with cyclic holonomy \(\mathbb{Z}_{2^d}\)] ⋮ Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups

Cites Work

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• Conjugacy classes of involutions in Coxeter groups
• Competitors of the Kendall-tau test for testing independence against positive quadrant dependence
• Kähler groups and rigidity phenomena

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