Undergraduate Course: Group Theory (MATH10079)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| 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. There will also be some ring theory. |
| Course description |
- Group actions & Sylow Theorems
- Homomorphisms, isomorphisms & factor groups
- Group Presentations
- Simple groups & Composition Series
- Polynomial rings & finite fields
- Classification of finite abelian groups
- PIDs & their modules
|
Information for Visiting Students
| Pre-requisites | Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling.
|
| High Demand Course? |
Yes |
Course Delivery Information
|
| Academic year 2019/20, Available to all students (SV1)
|
Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 6,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
68 )
|
| Assessment (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 20%, Examination 80% |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S2 (April/May) | MATH10079 | 2:00 | |
|
| Academic year 2019/20, Part-year visiting students only (VV1)
|
Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 6,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
68 )
|
| Assessment (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 20%, Examination 80% |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S1 (December) | | 2:00 | |
Learning Outcomes
On completion of this course, the student will be able to:
- Demonstrate facility with the Sylow theorems, group homomorphisms and presentations, and the application of these in order to describe aspects of the intrinsic structure of groups, both abstractly and in specific examples.
- Manipulate composition series, through both the proof of abstract structural properties and the calculation of explicit examples.
- Work with the classes of rings and fields appearing in the course, particularly specific calculations around finite fields and polynomials.
- Produce examples and counterexamples illustrating the mathematical concepts presented in the course.
- Understand the statements and proofs of important theorems and be able to explain the key steps in proofs, sometimes with variation.
|
Reading List
Recommended :
- T S Blyth and E S Robertson, Groups (QA171.Bly )
- J F Humphreys, A Course in Group Theory (QA177 Hum)
- M A Armstrong, Groups and Symmetry (QA171 Arm )
- J J Rotman, The theory of groups: An introduction (QA171 Rot )
- J J Rotman, An introduction to the Theory of Groups (QA174.2 Rot ) |
Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | GrTh |
Contacts
| Course organiser | Dr Susan Sierra
Tel: (0131 6)50 5070
Email: S.Sierra@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
|
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