Essays about: "galois theory"
Showing result 1 - 5 of 11 essays containing the words galois theory.
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1. The low-lying zeros of L-functions associated to non-Galois cubic fields
University essay from Göteborgs universitet/Institutionen för matematiska vetenskaperAbstract : We study the low-lying zeros of Artin L-functions associated to non-Galois cubic number fields through their one- and two-level densities. In particular, we find new precise estimates for the two-level density with a power-saving error term. READ MORE
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2. Profinite groups
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : This thesis provides a comprehensive study of profinite groups, which are fascinating mathematical objects that have attracted significant interest in modern algebraic research. Profinite groups are infinite generalizations of finite groups and share many similarities with them. READ MORE
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3. An almost algebraic proof of the fundamental theorem of algebra
University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)Abstract : 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. READ MORE
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4. Galois Theory and the Artin-Schreier Theorem
University essay from Uppsala universitet/Algebra och geometriAbstract : .... READ MORE
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5. An Exploration of Galois Theory with some Classical Results
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematik LTHAbstract : 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. READ MORE