Module Overview

Algebraic Structures: Groups

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.

Module Code

MATH 3807

ECTS Credits


*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 Examination70
Other Assessment(s)30