English

Explicit Belyi maps over Q having almost simple primitive monodromy groups

Number Theory 2017-03-09 v1 Group Theory

Abstract

We present all Belyi maps P^1(C) -> P^1(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).

Cite

@article{arxiv.1703.02848,
  title  = {Explicit Belyi maps over Q having almost simple primitive monodromy groups},
  author = {Dominik Barth and Andreas Wenz},
  journal= {arXiv preprint arXiv:1703.02848},
  year   = {2017}
}

Comments

11 pages

R2 v1 2026-06-22T18:39:44.600Z