Finite Hurwitz braid group actions for Artin groups.

DOI10.1007/BF02803499zbMath1109.20030MaRDI QIDQ1766471

Stephen P. Humphries

Publication date: 7 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Coxeter groupsstandard generatorsfinite orbitsHurwitz braid group actionsirreducible Artin groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07)

Related Items

Anyons in geometric models of matter ⋮ Finite orbits of Hurwitz actions on braid systems. ⋮ Determining the Hurwitz orbit of the standard generators of a braid group.

Uses Software

• Magma

Cites Work

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• Polynomial-lemniscates, trees and braids
• The fundamental group of generic polynomials
• The complement of the bifurcation variety of a simple singularity
• Finite Hurwitz braid group actions on sequences of Euclidean reflections.
• Geometric monodromy groups of simple singularities
• Bestvina's normal form complex and the homology of Garside groups.