Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras

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Title:	Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras
Author:	Crespo, Teresa; Río Doval, Ana; Vela del Olmo, Maria Montserrat
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
Abstract:	We give a degree 8 non-normal separable extension having two non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis -Field theory (Physics) -Hopf algebra -Separable field extension -Galois theory -Hopf Galois structure -Teoria de camps (física) -12F Field extensions
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Document type:	Article - Published version Article
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