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http://hdl.handle.net/2445/97731
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 Polinomis Equacions Algorismes p-adic numbers Bachelor's theses p-adic fields Polynomials Equations Algorithms |
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 |
URI: | http://hdl.handle.net/2445/97731 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 684.99 kB | Adobe PDF | View/Open |
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