Browse Hierarchy MTH722P: Group Theory

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This is a module in algebraic structures, covering more advanced aspects of group 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. Ring theory is also explored via matrix rings and Noetherian rings. After studying the basic theory of modules, the structure of finitely generated modules over Euclidean domains is determined.

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