Explicit Belyi maps over Q having almost simple primitive monodromy groups

2017/03/08 by Barth, Dominik, Wenz, Andreas
#12F12 #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1703.02848

Abstract

We present all Belyi maps P¹(C) -> P¹(C) having almost simple primitive monodromy groups (not isomorphic to A_n or S_n) containing rigid and rational generating triples of degree between 50 and 250. This also leads to new polynomials having almost simple Galois groups over Q(t).

Related

• A Unique Chief Series in the arboreal Galois Group of Belyi Maps
• Belyi Lattes Maps
• Chebycheff and Belyi polynomials, dessins d'enfants, Beauville surfaces and group theory
• Belyi map for the sporadic group J1
• Differential relations for almost Belyi maps