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arXiv · 0805.2331

Computing the fixing group of a rational function

Jaime Gutierrez·Rosario Rubio·David Sevilla
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Abstract

Let G=Aut_K (K(x)) be the Galois group of the transcendental degree one pure field extension K(x)/K. In this paper we describe polynomial time algorithms for computing the field Fix(H) fixed by a subgroup H < G and for computing the fixing group G_f of a rational function f in K(x).

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Jaime Gutierrez, Rosario Rubio, David Sevilla. 2008-05-15. Computing the fixing group of a rational function. https://arxiv.org/abs/0805.2331

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