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Title: Resolubilitat efectiva per radicals de les quíntiques sobre cossos $p$-àdics
Author: Caelles i Vidal, Marc
Director/Tutor: Travesa i Grau, Artur
Keywords: Nombres p-àdics
Treballs de fi de grau
Camps p-àdics
p-adic numbers
Bachelor's thesis
p-adic fields
Issue Date: 18-Jan-2016
Abstract: 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.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Artur Travesa i Grau
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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