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A GAP Package for Braid Orbit Computation and Applications

A GAP Package for Braid Orbit Computation and Applications

Abstract 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, …