Belyi map for the sporadic group J1

2017/04/21 by Dominik Barth, Barth, Dominik, Andreas Wenz +1 · 1 citation
Mathematics · #12F12 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1704.06419

openalex publication_date 2017/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Composite Genus One Belyi Maps
• The sporadic group J2, Hauptmodul and Belyi map

Cited by

• A one-parameter family of degree 36 polynomials with PSp(6,2) as Galois\n group over Q(t)

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