Last modified: 31 May 2022 13:05
Group theory concerns the study of symmetry. The course begins with the group axioms, which provide an abstract setting for the study of symmetry. We proceed to study subgroups, normal subgroups, and group actions in various guises. Group homomorphisms are introduced and the related isomorphism theorems are proved. Composition series are introduced and the Jordan-Holder theorem is proved. Sylow p-subgroups are introduced and the three Sylow theorems are proved. Throughout symmetric groups are consulted as a source of examples.
|Session||First Sub Session||Credit Points||15 credits (7.5 ECTS credits)|
Information on contact teaching time is available from the course guide.
4x Assignments (20%, 20%, 20%, 40%)
Alternative Resit Arrangements
Resubmission of failed elements (pass marks carried forward)
There are no assessments for this course.
|Knowledge Level||Thinking Skill||Outcome|
|Factual||Remember||ILO’s for this course are available in the course guide.|