English

Computing the fixing group of a rational function

Symbolic Computation 2009-04-19 v1 Commutative Algebra

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).

Cite

@article{arxiv.0805.2331,
  title  = {Computing the fixing group of a rational function},
  author = {Jaime Gutierrez and Rosario Rubio and David Sevilla},
  journal= {arXiv preprint arXiv:0805.2331},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-06-21T10:41:04.542Z