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Extensions finites Hopf Galois

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dc.contributor.advisorCrespo Vicente, Teresa
dc.contributor.authorBañuelos Villanueva, Yasmina
dc.date.accessioned2022-03-18T11:34:37Z
dc.date.available2022-03-18T11:34:37Z
dc.date.issued2021-06-20
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicenteca
dc.description.abstract[en] Galois theory is one of the most famous in the mathematics field. This theory usually uses groups as the main structure of study. We’ll work to find a generalization of this theory, which will consist of using a more complex structure, the Hopf algebra. In the end, we’ll be able to find a relationship between a Hopf algebra associated with a Hopf Galois extension and a regular subgroup of permutations. This final result will be the one that will enable us to explicitly compute a Hopf algebra given the regular subgroup.ca
dc.format.extent36 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/184169
dc.language.isocatca
dc.rightscc-by-nc-nd (c) Yasmina Bañuelos Villanueva, 2021
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.sourceTreballs Finals de Grau (TFG) - Matemàtiques
dc.subject.classificationTeoria de Galoisca
dc.subject.classificationTreballs de fi de grau
dc.subject.classificationÀlgebres de Hopfca
dc.subject.classificationAnells associatiusca
dc.subject.otherGalois theoryen
dc.subject.otherBachelor's theses
dc.subject.otherHopf algebrasen
dc.subject.otherAssociative ringsen
dc.titleExtensions finites Hopf Galoisca
dc.typeinfo:eu-repo/semantics/bachelorThesisca

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