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Bachelor thesis

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2016-01-18

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cc-by-nc-nd (c) Marc Caelles i Vidal, 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/97731

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

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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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Artur Travesa i Grau

Subject

Nombres p-àdics, Treballs de fi de grau, Camps p-àdics, Polinomis, Equacions, Algorismes

Subject (English)

p-adic numbers, Bachelor's theses, p-adic fields, Polynomials, Equations, Algorithms

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

CAELLES I VIDAL, Marc. Resolubilitat efectiva per radicals de les quíntiques sobre cossos $p$-àdics. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/97731

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