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

Fedor Pakovich

doi:10.5802/jtnb.622

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

Fedor Pakovich

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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
Pages (from-to)	205-218
Number of pages	14
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	20
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.622
State	Published - 1 Jan 2008

ASJC Scopus subject areas

Algebra and Number Theory

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10.5802/jtnb.622

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

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