Essays about: "Sylow theorems"
Found 4 essays containing the words Sylow theorems.
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1. 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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2. 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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3. Morphisms of Fusion Systems
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : A fusion system on a finite group G with a Sylow p-subgroup P is a category on P with all subgroups of P as objects and group homomorphisms induced by conjugation in G as morphisms and was first introduced by L. Puig around 1990 in order to aid his research in finite group theory. READ MORE
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4. Fusion Systems On Finite Groups and Alperin's Theorem
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : Let G be a group and P a Sylow p-subgroup of G. A fusion system of G on P, denoted by FP (G), is the category with objects; subgroups of P, and morphisms induced by conjugation in G. This thesis gives a brief introduction to the theory fusion systems. Two classical theorems of Burnside and Frobenius are stated and proved. READ MORE
