Sökning: "Galoisteori"
Visar resultat 1 - 5 av 6 uppsatser innehållade ordet Galoisteori.
1. Galoisteori och Abel-Ruffinis sats
Kandidat-uppsats, Uppsala universitet/Matematiska institutionenSammanfattning : .... LÄS MER
2. Kroppsutvidgningar och Galoisteori : Från definitionen av en ändlig kroppsutvidgning fram till huvudsatsen
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : Rapporten går igenom kopplingen mellan ändliga kroppsutvidgningar och automorfigrupperna av dessa. Ändliga Kroppsutvidgningar definieras utifrån algebraiska element över en kropp. Dessa utvidgningar framställs därefter som vektorrum över baskroppen. LÄS MER
3. An almost algebraic proof of the fundamental theorem of algebra
Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)Sammanfattning : By the results of the Sylow theorems, algebraic extension theorems and Galois theory, we shall prove the fundamental theorem of algebra, which states that the set of complex numbers is algebraically closed. This process of abstraction will provide an almost algebraic proof of the theorem and thereby supply us with a tool in solving many questions within the field of mathematics. LÄS MER
4. An Exploration of Galois Theory with some Classical Results
Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematik LTHSammanfattning : Galois theory unites field theory and group theory to solve some field theoretical problems. The aim of this thesis is to provide a concise introduction to the topic, culminating in the proof of the insolubility of the general quintic equation by radicals. LÄS MER
5. The étale fundamental group, étale homotopy and anabelian geometry
Master-uppsats, KTH/Matematik (Avd.)Sammanfattning : In 1983 Grothendieck wrote a letter to Faltings, [Gro83], outlining what is today known as the anabelian conjectures. These conjectures concern the possibility to reconstruct curves and schemes from their étale fundamental group. Although Faltings never replied to the letter, his student Mochizuki began working on it. LÄS MER