Computation of Belyi maps with prescribed ramification and applications in Galois theory
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DOI: 10.1016/j.jalgebra.2020.10.040
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… read more here.
Keywords: computation belyi; prescribed ramification; ramification applications; maps prescribed ... See more keywords
Cubic function fields with prescribed ramification
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DOI: 10.1142/s1793042121500755
Abstract: This paper describes cubic function fields [Formula: see text] with prescribed ramification, where [Formula: see text] is a rational function field. We give general equations for such extensions, an explicit procedure to obtain a defining… read more here.
Keywords: prescribed ramification; function fields; formula see; see text ... See more keywords