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Displaying similar documents to “An invariant for difference field extensions”

Co-fibered products of algebraic curves

Fedor Bogomolov, Yuri Tschinkel (2009)

Open Mathematics

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We give examples of failure of the existence of co-fibered products in the category of algebraic curves.

Extending automorphisms to the rational fractions field.

Fernando Fernández Rodríguez, Agustín Llerena Achutegui (1991)

Extracta Mathematicae

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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...

On the autotopism group of the Cordero-Figueroa semifield of order 3⁶

Walter Meléndez, Raul Figueroa, Moisés Delgado (2016)

Discussiones Mathematicae General Algebra and Applications

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In [5] M. Biliotti, V. Jha and N. Johnson were able to completely determine the autotopism group of a generalized twisted field as a subgroup of ΓL(K) × ΓL(K), where K = GF(pⁿ) and ΓL(K) is the group of nonsingular semilinear transformations over K. In this article, we consider the Cordero-Figueroa semifield of order 3⁶, which is not a generalized twisted field, and we prove that its autotopism group is isomorphic to a subgroup of ΓL(K) × ΓL(K), where K = GF(3⁶).