Group Theory
Course Objectives: The course objective is to introduce students to the fundamental theory of groups and their homomorphisms. Symmetric groups and symmetries in groups, Lagrange's theorem are also studied in depth. Course Learning Outcomes: The course will enable the students to: i) recognize the mathematical objects that are groups, and classify them as abelian, cyclic and permutation groups, etc; ii) analyze consequences of Lagrange’s theorem iii) learn about structure preserving maps between groups and their consequences. iv) explain the significance of the notion of cosets, normal subgroups, and factor groups.
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