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math.NT2017★ 1 cited
Belyi map for the sporadic group J2
Dominik Barth, Andreas Wenz
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…
math.NT2017★ 3 cited
Belyi map for the sporadic group J1
Dominik Barth, Andreas Wenz
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(…
math.NT2017★ 2 cited
Explicit Belyi maps over Q having almost simple primitive monodromy groups
Dominik Barth, Andreas Wenz
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…