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Curricular information is subject to change
The student will be able to understand some of the following concepts:
(i) Abelian groups: the classification of finite abelian groups.
(ii) Permutation groups: permutations, orbit-stabilizer theorem, Cayley's theorem, A(5) is simple.
(iii) Sylow's theorems: double cosets, Sylow's theorems, some consequences of Sylow's theorems, applications of Sylow's theorems.
(iv) Jordan-Holder theorem: direct products, Schreier's refinement theorem, Jordan-Holder theorem, characteristically simple groups.
(v) Soluble groups: definitions, derived groups, characterizing certain groups of small order.
Student Effort Type | Hours |
---|---|
Lectures | 24 |
Tutorial | 12 |
Specified Learning Activities | 24 |
Autonomous Student Learning | 50 |
Total | 110 |
MATH10040
MATH20310
Description | Timing | Component Scale | % of Final Grade | ||
---|---|---|---|---|---|
Examination: Examination | 2 hour End of Trimester Exam | No | Standard conversion grade scale 40% | No | 70 |
Assignment: Homework | Throughout the Trimester | n/a | Standard conversion grade scale 40% | No | 30 |
Resit In | Terminal Exam |
---|---|
Spring | Yes - 2 Hour |
• Group/class feedback, post-assessment
Solutions to homework problems will be covered in tutorials. A practice examination will be covered at the end of the trimester.