@phdthesis{Wenz2021,
  author    = {Wenz, Andreas},
  title     = {Computation of Belyi maps with prescribed ramification and applications in Galois theory},
  doi       = {10.25972/OPUS-24083},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-240838},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {We compute genus-0 Belyi maps with prescribed monodromy and strictly verify the computed results. Among the computed examples are almost simple primitive groups that satisfy the rational rigidity criterion yielding polynomials with prescribed Galois groups over Q(t). We also give an explicit version of a theorem of Magaard, which lists all sporadic groups occurring as composition factors of monodromy groups of rational functions.},
  subject      = {Galois-Theorie},
  language  = {en}
}