Pairs of tree dessins, their Shabat polynomials, and monodromy groups

Benjamin Dupont, Revekka Kyriakoglou, Vassilis Metaftsis +2

Coverings of the Riemann sphere by itself, ramified over two points, are given by so-called Shabat polynomials. The correspondence between Grothendieck's dessins d'enfants and Bely…