Abstract
In this paper we study an action D of the absolute Galois group Γ = Gal (ℚ/ℚ) on bicolored plane trees. In distinction with the similar action provided by the Grothendieck theory of “Dessins d’enfants” the action D is induced by the action of Γ on equivalence classes of conservative polynomials which are the simplest examples of postcritically finite rational functions. We establish some basic properties of the action D and compare it with the Grothendieck action.
Original language | English |
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Pages (from-to) | 205-218 |
Number of pages | 14 |
Journal | Journal de Theorie des Nombres de Bordeaux |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2008 |
ASJC Scopus subject areas
- Algebra and Number Theory