Browse Hierarchy MTH6106: Group Theory

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This is a second module in algebraic structures, covering more advanced aspects of group theory and ring theory as well as introducing the theory of modules. There is a strong emphasis on abstract thinking and proof. The group theory portion includes the basics of group actions, finite p-groups, Sylow theorems and applications, and the Jordan-Holder theorem. In ring theory, matrix rings and Noetherian rings are studied. After studying the basic theory of modules, the structure of finitely generated modules over Euclidean domains is determined.

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