Crespo Vicente, TeresaSalguero Garcı́a, Marta2017-05-032017-05-032016-06-27https://hdl.handle.net/2445/110365Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Teresa Crespo VicenteHopf Galois theory is a generalization of Galois theory. Galois theory gives a bijective correspondence between intermediate fields of a Galois field extension (normal and separable) and subgroups of the Galois group. Hopf Galois theory substitutes the Galois group by a Hopf algebra. In the case of separable extensions it has a characterization of the Hopf Galois character in terms of groups. Thus, we use Magma in order to obtain all Hopf Galois structures of extensions of degree 8.69 p.application/pdfengcc-by-nc-nd (c) Marta Salguero Garcı́a, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/esTeoria de GaloisTreballs de fi de grauÀlgebres de HopfMòduls (Àlgebra)Galois theoryBachelor's thesesHopf algebrasModules (Algebra)info:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess