On the Galois correspondence theorem in separable Hopf Galois theory

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Title:	On the Galois correspondence theorem in separable Hopf Galois theory
Author:	Crespo Vicente, Teresa; Río Doval, Ana; Vela del Olmo, Maria Montserrat
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
Abstract:	In this paper we present a reformulation of the Galois correspondence theorem of Hopf Galois theory in terms of groups carrying farther the description of Greither and Pareigis. We prove that the class of Hopf Galois extensions for which the Galois correspondence is bijective is larger than the class of almost classically Galois extensions but not equal to the whole class. We show as well that the image of the Galois correspondence does not determine the Hopf Galois structure.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Modelització matemàtica -Numerical analysis -Hopf algebra -Hopf Galois theory -Galois correspondence -Anàlisi numèrica -Classificació AMS::12 Field theory and polynomials::12F Field extensions
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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