Determining the Hurwitz orbit of the standard generators of a braid group.

zbMath1328.20058MaRDI QIDQ2341647

Yoshiro Yaguchi

Publication date: 27 April 2015

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1427202872

zbMATH Keywords

orbitsbraid groupsHurwitz actionstandard generators

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36)

Cites Work

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• Braided surfaces and Seifert ribbons for closed braids
• Polynomial-lemniscates, trees and braids
• The fundamental group of generic polynomials
• Properties of Hurwitz equivalence in the braid group of order \(n\).
• Finite Hurwitz braid group actions on sequences of Euclidean reflections.
• Finite Hurwitz braid group actions for Artin groups.
• The algebraical braid group
• The orbits of the Hurwitz action of the braid groups on the standard generators
• ISOTROPY SUBGROUP OF HURWITZ ACTION OF THE 3-BRAID GROUP ON THE BRAID SYSTEMS
• THE BRAID GROUP AND OTHER GROUPS

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