Belyi map for the sporadic group J2

2017/12/14 by Dominik Barth, Barth, Dominik, Andreas Wenz +1
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1712.05268

Abstract

We present a genus 0 Belyi map for the sporadic Janko group J2 of degree 280. As a consequence we obtain a polynomial having Aut(J2) as a Galois group over K(t) where K is a number field of degree 10.

Related

• Belyi map for the sporadic group J1
• The sporadic group Co3, Hauptmodul and Belyi map
• The sporadic group J2, Hauptmodul and Belyi map
• Dynamical Belyi maps and arboreal Galois groups
• Explicit Belyi maps over Q having almost simple primitive monodromy groups