Belyi map for the sporadic group J1

Abstract

We compute the genus 0 Belyi map for the sporadic Janko group J1 of degree 266 and describe the applied method. This yields explicit polynomials having J1 as a Galois group over K(t), [K:Q] = 7.

5 pages, the data for the Belyi map is contained in an ancillary file

References in corpus (4)

• The sporadic group J2, Hauptmodul and Belyi map
• Composite Genus One Belyi Maps
• Explicit Polynomials Having the Higman-Sims Group as Galois Group over Q(t)
• Explicit Belyi maps over Q having almost simple primitive monodromy groups

Cited by in corpus (3)

• An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups
• Belyi map for the sporadic group J2
• A one-parameter family of degree 36 polynomials with PSp(6,2) as Galois group over Q(t)