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Module GROUPS

Module code: MT316A
Credits: 5
Semester: 2
Department: MATHEMATICS AND STATISTICS
International: Yes
Overview Overview
 

Module Objective:
To give a gentle introduction to groups.

Definitions and examples: the integers, the integers mod n, permutation groups, finite groups of symmetries (for example dihedral groups). Mappings: group homomorphisms and isomorphisms, kernel and image definitions, examples. Subgroups: examples, orders of elements and groups, Lagrange's Theorem. Conjugacy, normal subgroups, quotient groups. Groups of matrices: examples (to include GL(n), O(n), and SO(n)), geometry of corresponding linear transformations, Euclidean isometries.

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