Groups as automorphisms of dessins d'enfants

DOI10.1007/s13398-022-01285-7OpenAlexW3192825536WikidataQ126025307 ScholiaQ126025307MaRDI QIDQ2081208

Antonio Viruel, Alejandro Cañas, Francisco-Javier Turiel, Rubén A. Hidalgo

Publication date: 12 October 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00900

zbMATH Keywords

automorphismsdessins d'enfants

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Geometric structures on manifolds of high or arbitrary dimension (57N16) Automorphisms of curves (14H37) Dessins d'enfants theory (14H57)

Cites Work

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• Automorphism groups of dessins d'enfants
• Isometry groups of infinite-genus hyperbolic surfaces
• Dessins d'Enfants on Riemann Surfaces
• Conformal Transformations of Riemann Surfaces
• The absolute Galois group acts faithfully on regular dessins and on Beauville surfaces
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Automorphism groups of maps, hypermaps and dessins
• Foundations of Hyperbolic Manifolds
• A note on the action of the absolute Galois group on dessins
• Hyperbolic surfaces with prescribed infinite symmetry groups
• Realizing countable groups as automorphism groups of Riemann surfaces

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