GENERALISED FERMAT HYPERMAPS AND GALOIS ORBITS

DOI10.1017/S0017089509004972zbMath1185.14027arXivmath/0606712OpenAlexW1988417073MaRDI QIDQ3633314

Gareth A. Jones, Streit, Manfred, Wolfart, Jürgen, Antoine D. Coste

Publication date: 18 June 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606712

zbMATH Keywords

Galois groupsRiemann surfacesnumber fieldsgraphs and groupsBelyi functionsGrothendieck dessin d'enfants

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Compact Riemann surfaces and uniformization (30F10) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Special algebraic curves and curves of low genus (14H45) Coverings of curves, fundamental group (14H30) Riemann surfaces; Weierstrass points; gap sequences (14H55) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (4)

Complete regular dessins of odd prime power order ⋮ Nilpotent groups of class two which underly a unique regular dessin ⋮ Complete regular dessins and skew-morphisms of cyclic groups ⋮ Bipartite graph embeddings, Riemann surfaces and Galois groups

Cites Work

• Galois action on families of generalised Fermat curves
• Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi
• Comments on the links between \(su(3)\) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards
• Field of definition and Galois orbits for the Macbeath-Hurwitz curves
• Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. I: Metacyclic case
• Conjugators of Fuchsian groups and quasiplatonic surfaces
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• On extendability of group actions on compact Riemann surfaces
• Belyi Functions, Hypermaps and Galois Groups
• Finitely Maximal Fuchsian Groups

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