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Resolubilitat efectiva per radicals de les quíntiques sobre cossos $p$-àdics

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dc.contributor Travesa i Grau, Artur
dc.creator Caelles i Vidal, Marc
dc.date 2016-04-21T09:36:18Z
dc.date 2016-04-21T09:36:18Z
dc.date 2016-01-18
dc.date.accessioned 2024-12-16T10:22:24Z
dc.date.available 2024-12-16T10:22:24Z
dc.identifier http://hdl.handle.net/2445/97731
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/14284
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Artur Travesa i Grau
dc.description Since every finite extension over the field $\mathbb{Q}_p$ of $p$-adic numbers is solvable, any degree 5 polynomial can be solved by radicals over the field of $p$-adic numbers. Using Panayi's algorithm we describe a method for expressing any root of an irreducible quintic over $\mathbb{Q}_p$ as a $\mathbb{Q}_p$-linear combination of radical expressions over the rationals.
dc.format 57 p.
dc.format application/pdf
dc.language cat
dc.rights cc-by-nc-nd (c) Marc Caelles i Vidal, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Nombres p-àdics
dc.subject Treballs de fi de grau
dc.subject Camps p-àdics
dc.subject Polinomis
dc.subject Equacions
dc.subject Algorismes
dc.subject p-adic numbers
dc.subject Bachelor's theses
dc.subject p-adic fields
dc.subject Polynomials
dc.subject Equations
dc.subject Algorithms
dc.title Resolubilitat efectiva per radicals de les quíntiques sobre cossos $p$-àdics
dc.type info:eu-repo/semantics/bachelorThesis


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