A GAP package for braid orbit computation, and applications

2003/04/24 by Kay Magaard, K. Magaard, S. Shpectorov +5
Mathematics · Medicine · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Soft tissue tumor case studies #math.AG #math.GR #msc:14H30 #msc:20B40

paper · pdf · doi:10.48550/arxiv.math/0304376

arxiv created 2003/04/24 · arxiv updated 2009/11/30

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 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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