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Group Theory - MAT4833

Honours Year module NQF level: 8 Credits: 12
Module presented in English Module presented online
Purpose: To give students a sound understanding of group theory and some basic understanding of representation theory of finite groups. The module starts off with basic concepts in set theory which lead to the Well-ordering principle, Hausdorff maximality principle, Axiom of choice and Zorn's lemma. It then goes on to focus on permutation groups, Cayley's theorem and applications, group actions, Sylow's theorem and applications. The latter part of the module is dedicated to the representations and characters of finite groups.