A GAP Package for Braid Orbit Computation and Applications

DOI10.1080/10586458.2003.10504507zbMath1068.12002arXivmath/0304376OpenAlexW2017859371MaRDI QIDQ4651431

Kay Magaard, Sergey V. Shpectorov, Helmut Voelklein

Publication date: 21 February 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304376

zbMATH Keywords

GAPbraid orbitsHurwitz braid groupcoverings of Riemann surfaces

Mathematics Subject Classification ID

Related Items (12)

The monodromy group of a function on a general curve ⋮ Classifying (almost)-Belyi maps with five exceptional points ⋮ Alternating groups and moduli space lifting invariants ⋮ A SAGE Package for n-Gonal Equisymmetric Stratification of ⋮ Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces ⋮ Computation of Hurwitz spaces and new explicit polynomials for almost simple Galois groups ⋮ Covers of tori: genus two ⋮ Lifting results for rational points on Hurwitz moduli spaces ⋮ On rational functions with monodromy group \(M_{11}\) ⋮ The lift invariant distinguishes components of Hurwitz spaces for $A_5$ ⋮ Computation of highly ramified coverings ⋮ BRAID

Uses Software

• GAP

Cites Work

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• The inverse Galois problem and rational points on moduli spaces
• On monodromy groups of fixed genus
• On the minimal degree of a primitive permutation group
• Moduli spaces for covers of the Riemann sphere
• Integral specialization of families of rational functions
• On primitive monodromy groups of genus zero and one 1
• Note on H(4)
• Construction d'une extension régulière de Q(T) de groupe de Galois M₂₄
• Multi-parameter polynomials with given Galois group
• Extension of embeddings in the computably enumerable degrees

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