Galois action on regular dessins d’enfant with simple group action

DOI10.1090/conm/703/14128zbMath1433.14026OpenAlexW4241522602MaRDI QIDQ4685911

S. Allen Broughton

Publication date: 9 October 2018

Published in: Higher Genus Curves in Mathematical Physics and Arithmetic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/703/14128

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Simple, semisimple, reductive (super)algebras (17B20) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32) Dessins d'enfants theory (14H57)

Uses Software

• Magma

Cites Work

• The symmetric genus of alternating and symmetric groups
• Hurwitz families and arithmetic Galois groups
• The Riemann surface of a uniform dessin
• An elementary approach to dessins d'enfants and the Grothendieck-Teichmüller group
• Symmetries of quasiplatonic Riemann surfaces
• Belyi Functions, Hypermaps and Galois Groups
• Wilson's map operations on regular dessins and cyclotomic fields of definition
• Finitely Maximal Fuchsian Groups
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