MATH6100 Algebra (Group Theory and Applications)

 

Number of Credits : 4

 

PRE-REQUISITE: NONE

 

Course Description:

Group Theory; Commutators, Centralisers and Nomalisers; The Homomorphism Theorems; The Sylow Theorems; The Class Equation of a Group; Theory of p-groups; Solvable Groups; The Jordan-Holder Theorem; Simple Groups; Direct Product of Groups. Applications Groups and Symmetry; Group Actions on Sets; Stabilisers Symmetry Groups in Two Dimensions; Matrix Groups; Rotations of Regular Solids; Finite Rotation Groups in Three Dimensions; Polya-Burnside Theorem and applications;.

 

Assessment:

Coursework                                                       25%

Final Examination: One 3 hour written paper          75%