Geodesic
Regular dessins d'enfants with field of moduli Q(p√2)
Ars Mathematica Contemporanea, Tome 13 (2017) no. 2, pp. 323-330.

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Herradon has recently provided an example of a regular dessin d’enfant whose field of moduli is the non-abelian extension Q(3√2) answering in this way a question due to Conder, Jones, Streit and Wolfart. In this paper we observe that Herradon’s example belongs naturally to an infinite series of such kind of examples; for each prime integer p ≥ 3 we construct a regular dessin d’enfant whose field of moduli is the non-abelian extension Q(p√2); for p = 3 it coincides with Herradon’s example.
DOI : 10.26493/1855-3974.1202.9c1
Keywords: Dessins d'enfants, Riemann surfaces, field of moduli and field of definition 
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Rubén A. Hidalgo; Saul Quispe. Regular dessins d'enfants with field of moduli Q(p√2). Ars Mathematica Contemporanea, Tome 13 (2017) no. 2, pp. 323-330. doi : 10.26493/1855-3974.1202.9c1. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1202.9c1/

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