An elementary approach to dessins d'enfants and the Grothendieck-Teichmüller group

DOI10.4171/LEM/60-3/4-5zbMath1364.11126arXiv1309.1968MaRDI QIDQ2349110

Pierre Guillot

Publication date: 17 June 2015

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1968

zbMATH Keywords

regular mapsabsolute Galois groupdessins d'enfantsGrothendieck-Teichmüller

Mathematics Subject Classification ID

Galois theory (11R32) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32) Dessins d'enfants theory (14H57)

Related Items (8)

The absolute Galois group acts faithfully on regular dessins and on Beauville surfaces ⋮ An explicit quasiplatonic curve with non-abelian moduli field ⋮ Regular dessins with moduli fields of the form Q(ζp, \sqrt[p{q})] ⋮ Calculating and drawing Belyi pairs ⋮ The Grothendieck-Teichmüller group of \(\mathrm{PSL}(2,q)\) ⋮ Cayley graphs and automatic sequences ⋮ Galois action on regular dessins d’enfant with simple group action ⋮ Machine-learning dessins d’enfants: explorations via modular and Seiberg–Witten curves

Cites Work

• Faithful actions of the absolute Galois group on connected components of moduli spaces
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