Wilson's map operations on regular dessins and cyclotomic fields of definition

DOI10.1112/plms/pdp033zbMath1191.14034OpenAlexW2163576246MaRDI QIDQ5190316

Wolfart, Jürgen, Streit, Manfred, Gareth A. Jones

Publication date: 15 March 2010

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/156469/1/JStWoPLMSproofsCorrected.pdf

zbMATH Keywords

Riemann surfacesGalois groupFuchsian groupsfield of definitionfield of moduliDessins 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) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (7)

New dualities from old: generating geometric, Petrie, and Wilson dualities and trialities of ribbon graphs ⋮ Classical curves via one-vertex maps ⋮ Calculating and drawing Belyi pairs ⋮ Galois actions on regular dessins of small genera ⋮ About the Fricke-Macbeath curve ⋮ Galois action on regular dessins d’enfant with simple group action ⋮ Bipartite graph embeddings, Riemann surfaces and Galois groups

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