Computing the fixing group of a rational function

Details Computing the fixing group of a rational function Computing the fixing group of a rational function

2008-05-15

arxiv.org/abs/0805.2331v1

Proceedings of the 5th International workshop on Computer Algebra in Scientific Computing (CASC), p. 159-164, Instituet fuer I

Computer Science

Symbolic Computation

8 pages

Scientific paper

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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