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2003 A GAP Package for Braid Orbit Computation and Applications
Kay Magaard, Sergey Shpectorov, Helmut Völklein
Experiment. Math. 12(4): 385-394 (2003).

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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Kay Magaard. Sergey Shpectorov. Helmut Völklein. "A GAP Package for Braid Orbit Computation and Applications." Experiment. Math. 12 (4) 385 - 394, 2003.

Information

Published: 2003
First available in Project Euclid: 18 June 2004

zbMATH: 1068.12002
MathSciNet: MR2043989

Subjects:
Primary: 12F12 , 20G40
Secondary: 14H10 , 14H30 , 14Q05 , 20B40

Keywords: Braid group , Hurwitz space , moduli space of curves , monodromy group of a cover

Rights: Copyright © 2003 A K Peters, Ltd.

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Vol.12 • No. 4 • 2003
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