Postgraduate Course: Basic Algebra 1 (MATH11125)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Availability | Not available to visiting students |
| SCQF Credits | 20 |
ECTS Credits | 10 |
| Summary | *Only Postgraduate Taught students on Mathematics Degree Programmes and Undergraduate MMath Year 5 students may take this course, and selection requires the approval of the Programme Director.*
Basic concepts in group theory, including definitions and examples; constructions of groups; generators and relations;simple groups; the Jordan-Holder theorem; soluble groups; group actions; conjugation; Sylow theorems and applications; free groups and presentations. (12
hours)
Basic concepts in ring and module theory; chain conditions; Hilbert Basis Theorem; these ideas illustrated by examples in number theory and algebraic geometry. (8 hours) |
| Course description |
Not entered
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | |
| Prohibited Combinations | Students MUST NOT also be taking
Jewels of Algebra (MATH10050)
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Other requirements | None |
Course Delivery Information
| Not being delivered |
Learning Outcomes
On completion of this course, the student will be able to:
- Thoroughly understand the basics of group theory, group actions, ring theory and elementary module theory.
- Apply ring theory and elementary module theory to rings arising in number theory and algebraic geometry.
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Special Arrangements |
Selection of this course requires the approval of your Programme Director. |
| Keywords | BAlg1 |
Contacts
| Course organiser | Dr Thomas Leinster
Tel: (0131 6)50 5057
Email: Tom.Leinster@ed.ac.uk |
Course secretary | Mrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk |
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