Last modified: 22 May 2019 17:07
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 JordanHolder theorem is proved. Sylow psubgroups are introduced and the three Sylow theorems are proved. Throughout symmetric groups are consulted as a source of examples.
Study Type  Undergraduate  Level  3 

Session  First Sub Session  Credit Points  15 credits (7.5 ECTS credits) 
Campus  None.  Sustained Study  No 
Coordinators 

Syllabus
This is the total time spent in lectures, tutorials and other class teaching.
1st Attempt: 1 twohour written examination (80%); incourse assessment (20%). Resit: 1 twohour examination (maximum of 100% resit and 80% resit with 20% incourse assessment).
Informal assessment of weekly homework through discussions in tutorials.
Incourse assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact Course Coordinators for feedback on the final examination.
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