THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2012/2013
- ARCHIVE as at 1 September 2012 for reference only
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Postgraduate Course: Basic Algebra 1 (MATH11125)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityNot available to visiting students
Credit level (Normal year taken)SCQF Level 11 (Postgraduate) Credits20
Home subject areaMathematics Other subject areaNone
Course website None Taught in Gaelic?No
Course descriptionBasic 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)
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations Students MUST NOT also be taking Jewels of Algebra (MATH10050)
Other requirements None
Additional Costs None
Course Delivery Information
Delivery period: 2012/13 Semester 1, Not available to visiting students (SS1) Learn enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
No Classes have been defined for this Course
First Class First class information not currently available
No Exam Information
Summary of Intended Learning Outcomes
A thorough understanding of the basics of group theory, group actions, ring theory and elementary module theory, with the ability to apply these latter two theories to rings arising in number theory and algebraic geometry.
Assessment Information
Coursework 20%; examination 80%
Special Arrangements
Selection of this course requires the approval of your Programme Director.
Additional Information
Academic description Not entered
Syllabus Not entered
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
KeywordsBAlg1
Contacts
Course organiserProf Tom Lenagan
Tel: (0131 6)50 5078
Email: T.Lenagan@ed.ac.uk
Course secretaryMrs Frances Reid
Tel: (0131 6)50 4883
Email: f.c.reid@ed.ac.uk
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© Copyright 2012 The University of Edinburgh - 31 August 2012 4:20 am