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Computing the fixing group of a rational function

Published 15 May 2008 in cs.SC and math.AC | (0805.2331v1)

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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