Finite Hurwitz braid group actions on sequences of Euclidean reflections.

DOI10.1016/S0021-8693(03)00377-6zbMath1040.20031MaRDI QIDQ1414676

Stephen P. Humphries

Publication date: 4 December 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (6)

Hurwitz spaces of Galois coverings of \(\mathbb P^1\), whose Galois groups are Weyl groups ⋮ Geometric combinatorics of polynomials. I: The case of a single polynomial ⋮ On the Hurwitz action in finite Coxeter groups ⋮ Finite Hurwitz braid group actions for Artin groups. ⋮ Hurwitz action on tuples of Euclidean reflections. ⋮ Determining the Hurwitz orbit of the standard generators of a braid group.

Uses Software

• Magma

Cites Work

• Polynomial-lemniscates, trees and braids
• The fundamental group of generic polynomials
• The complement of the bifurcation variety of a simple singularity
• Braids and self-distributivity
• Discrete groups generated by reflections
• Coxeter Groups and M -Matrices
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