This module introduces the learner to the algebraic structure of Groups and to their application and uses within other scientific and mathematical areas. It aims to form a firm foundation for further study of algebra and other areas of mathematics, including coding and cryptology.
*Curricular information is subject to change
Historical motivation of Group Theory: Symmetry groups of a regular polygon, Groups of transformations, Dihedral groups, Symmetric groups.
Groups: Group axioms, examples of groups, the integers mod n, subgroups, cyclic groups, permutation groups, group homomorphisms and isomorphisms, direct products, cosets, Lagrange’s Theorem, normal subgroups and factor groups, Homomorphism theorems.
Lectures supported by tutorials
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 70 |
| Other Assessment(s) | 30 |