Herradon has recently provided an example of a regular dessin d'enfant whose field of moduli is the non-abelian extension ?$\mathbb{Q} (\sqrt3{2})$? 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 ?$p \geq 3$? we construct a regular dessin d'enfant whose field of moduli is the non-abelian extension ?$\mathbb{Q} (\sqrtp{2})$?; for? $p=3$? it coincides with Herradon's example.

Rights

URN

URN:NBN:SI:DOC-FZ9Q4DGO

COBISSID

18355801

Added

29.05.2020

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Citation

APA:

Hidalgo, Rubén A., Quispe, Saul (2017). Regular dessins d'enfants with field of moduli Q(root p of 2). Ars mathematica contemporanea, volume 13, issue 2, str. 323-330. URN:NBN:SI:DOC-FZ9Q4DGO from http://www.dlib.si

MLA:

Hidalgo, Rubén A., Quispe, Saul. "Regular dessins d'enfants with field of moduli Q(root p of 2)." Ars mathematica contemporanea volume 13. issue 2 (2017) str. 323-330.
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-FZ9Q4DGO>

Ars mathematica contemporanea
2008-
(Assembly record)