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.
ASJC Scopus subject areas
- Algebra and Number Theory