We say that a field K has the Extension Property if every automorphism of K(X) extends to an automorphism of K. J.M. Gamboa and T. Recio [2] have introduced this concept, naive in appearance, because of its crucial role in the study of homogeneity conditions in spaces of orderings of functions fields. Gamboa [1] has studied several classes of fields with this property: Algebraic extensions of the field Q of rational numbers; euclidean, algebraically closed and pythagorean fields; fields with an unique archimedean ordering. We have introduced an apparently stronger type of extension property, simplifying some techniques and broadening the results
International audienceA generalization of Lüroth's theorem expresses that every transcendence degree...
AbstractLet k be a field of characteristic p > 0 and let s be a k-automorphism of order pr on K = k(...
AbstractLet k be a field of characteristic p and let σ ∈ Autk{k((t))}. For m ≥ 0 define im = vt(σpmt...
We say that a field K has the Extension Property if every automorphism of K(X) extends to an automor...
AbstractLet T be an intermediate over the field K. We say that K has the Extension Property if every...
AbstractLet T be an intermediate over the field K. We say that K has the Extension Property if every...
We study the automorphism groups of cyclic extensions of the rational function fields. We give condi...
AbstractWe study the automorphism groups of cyclic extensions of the rational function fields. We gi...
The purpose of this thesis is to examine the correspondence between groups of automorphsims and fiel...
AbstractUsing a theorem of Roquette–Ohm [P. Roquette, Isomorphisms of generic splitting fields of si...
AbstractWe study the automorphism groups of cyclic extensions of the rational function fields. We gi...
AbstractGiven a finite set of places S, we provide techniques to explicitly construct extensions of ...
International audienceA generalization of Lüroth's theorem expresses that every transcendence degree...
In this paper we prove results on the number of rational places in extensions of Kummer type ove...
International audienceA generalization of Lüroth's theorem expresses that every transcendence degree...
International audienceA generalization of Lüroth's theorem expresses that every transcendence degree...
AbstractLet k be a field of characteristic p > 0 and let s be a k-automorphism of order pr on K = k(...
AbstractLet k be a field of characteristic p and let σ ∈ Autk{k((t))}. For m ≥ 0 define im = vt(σpmt...
We say that a field K has the Extension Property if every automorphism of K(X) extends to an automor...
AbstractLet T be an intermediate over the field K. We say that K has the Extension Property if every...
AbstractLet T be an intermediate over the field K. We say that K has the Extension Property if every...
We study the automorphism groups of cyclic extensions of the rational function fields. We give condi...
AbstractWe study the automorphism groups of cyclic extensions of the rational function fields. We gi...
The purpose of this thesis is to examine the correspondence between groups of automorphsims and fiel...
AbstractUsing a theorem of Roquette–Ohm [P. Roquette, Isomorphisms of generic splitting fields of si...
AbstractWe study the automorphism groups of cyclic extensions of the rational function fields. We gi...
AbstractGiven a finite set of places S, we provide techniques to explicitly construct extensions of ...
International audienceA generalization of Lüroth's theorem expresses that every transcendence degree...
In this paper we prove results on the number of rational places in extensions of Kummer type ove...
International audienceA generalization of Lüroth's theorem expresses that every transcendence degree...
International audienceA generalization of Lüroth's theorem expresses that every transcendence degree...
AbstractLet k be a field of characteristic p > 0 and let s be a k-automorphism of order pr on K = k(...
AbstractLet k be a field of characteristic p and let σ ∈ Autk{k((t))}. For m ≥ 0 define im = vt(σpmt...
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