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On maximal decompositions of rational functions

by: M. Muzychuk, F. Pakovich
(22 Dec 2007)

X Abstract

In this paper we extend the first Ritt theorem about decompositions of polynomials to rational functions the monodromy group of which contains a cyclic subgroup with at most two orbits. Besides, we give a detailed analysis of the simplest examples of rational functions, related to finite subgroups of the sphere, for which the first Ritt theorem fails to be true.

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arXiv (abstract), arXiv (PDF)

This article has been bookmarked once, on 2007-12-27.

2007-12-27 User yakovenko
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