Conservative polynomials and yet another action of gal (ℚ/ℚ) on plane trees

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2 Scopus citations


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 languageEnglish
Pages (from-to)205-218
Number of pages14
JournalJournal de Theorie des Nombres de Bordeaux
Issue number1
StatePublished - 1 Jan 2008

ASJC Scopus subject areas

  • Algebra and Number Theory


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