A GAP package for braid orbit computation, and applications

Details A GAP package for braid orbit computation, and applications A GAP package for braid orbit computation, and applications

2003-04-24

arxiv.org/abs/math/0304376v1

Mathematics

Group Theory

Scientific paper

Let G be a finite group. By Riemann's Existence Theorem, braid orbits of generating systems of G with product 1 correspond to irreducible families of covers of the Riemann sphere with monodromy group G. Thus many problems on algebraic curves require the computation of braid orbits. In this paper we describe an implementation of this computation. We discuss several applications, including the classification of irreducible families of indecomposable rational functions with exceptional monodromy group.

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