Postgraduate Course: Basic Algebra 1 (MATH11125)
|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
|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
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)
Entry Requirements (not applicable to Visiting Students)
|Prohibited Combinations|| Students MUST NOT also be taking
Jewels of Algebra (MATH10050)
||Other requirements|| None
Course Delivery Information
|Not being delivered|
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.
|Graduate Attributes and Skills
||Selection of this course requires the approval of your Programme Director.
|Course organiser||Dr Thomas Leinster
Tel: (0131 6)50 5057
|Course secretary||Mrs Frances Reid
Tel: (0131 6)50 4883