An A5 Galois action on a class of elliptic dessins d’enfants
نویسنده
چکیده
As noted in [Jon97], only examples of solvable Galois actions on classes of dessins d'enfants have been explicitly constructed. In this paper an action of the nonsolvable alternating group A5, represented as a Galois group, on a class of elliptic dessins is presented.
منابع مشابه
Belyi-extending Maps and the Galois Action on Dessins D’enfants
We study the absolute Galois group by looking for invariants and orbits of its faithful action on Grothendieck’s dessins d’enfants. We define a class of functions called Belyi-extending maps, which we use to construct new Galois invariants of dessins from previously known invariants. Belyiextending maps are the source of the “new-type” relations on the injection of the absolute Galois group int...
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This note is concerned with the disproof of the most general case of Parker’s conjecture as stated in [6, 5]. The conjecture relates a certain group theoretic objects to the field of moduli of a Dessin. In his famous memoir "Esquisse d’un programme" ( a translation of which can be find in [4]), Alexandre Grothendieck proposed the study of the absolute Galois group Gal(Q̄/Q) via its faithful acti...
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تاریخ انتشار 1999