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Semester 1
Group Theory (MATH10079)
Subject
Mathematics
College
SCE
Credits
10
Normal Year Taken
4
Delivery Session Year
2023/2024
Pre-requisites
Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling.
Course Summary
This is a course in abstract algebra, although connections with other fields will be stressed as often as possible. It is a systematic study of the basic structure of groups, finite and infinite.
Course Description
- Homomorphisms, isomorphisms, and factor groups - Group presentations and universal properties - Sylow theorems and applications - Simple groups and composition series - Classification of finite abelian groups and applications - Solvable groups and the derived series
Assessment Information
Written Exam 75%, Coursework 25%, Practical Exam 0%
Additional Assessment Information
Coursework 25%, Examination 75%
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