Abstract We compute genus-0 Belyi maps with prescribed monodromy groups and verify the computed results. Among the computed examples are almost simple primitive groups that satisfy the well known rational… Click to show full abstract
Abstract We compute genus-0 Belyi maps with prescribed monodromy groups and verify the computed results. Among the computed examples are almost simple primitive groups that satisfy the well known rational rigidity criterion yielding polynomials with prescribed Galois groups over Q ( t ) . We also give an explicit version of a theorem of Magaard, which predicts all sporadic groups occurring as composition factors of monodromy groups of rational functions.
               
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