English

Belyi map for the sporadic group J1

Number Theory 2017-04-24 v1 Group Theory

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.

Cite

@article{arxiv.1704.06419,
  title  = {Belyi map for the sporadic group J1},
  author = {Dominik Barth and Andreas Wenz},
  journal= {arXiv preprint arXiv:1704.06419},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T19:23:28.238Z