Algebra 4: Groups and Rings (MATH0053)

Key information

Faculty: Faculty of Mathematical and Physical Sciences
Teaching department: Mathematics
Credit value: 15

Restrictions: This module is normally taken as an option by second or third year students on single or combined honours mathematics degree or by third year students on Mathematical Computation, who have taken MATH0006 Algebra 2. It may be suitable for other students with a suitable background in algebra.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

The course is divided into two parts in the approximate ratio 3:2. The intention in Part 1 is to transmit a thorough familiarity with, and working knowledge of, groups of small order (certainly all groups of order less than 15), to achieve the classification of these groups, and to impart a clear understanding of the principles by which their classification is effected, particularly in regard to the construction of subgroups of given order, culminating in, rather than beginning with, the full generality of Sylow's Theorem. The subject matter of Part 2 is Ring Theory. Beyond an elementary acquaintance with fields, no prior example knowledge is assumed. Here the intention, again by constant reference to explicit examples, is to achieve a good working knowledge of the main ideas and techniques of elementary (commutative) ring theory.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 2 听听听 Undergraduate (FHEQ Level 6)

Teaching and assessment

Mode of study: In person
Methods of assessment: 90% Exam

10% Coursework
Mark scheme: Numeric Marks

Other information

Number of students on module in previous year: 140
Module leader: Dr Yusra Naqvi
Who to contact for more information: math.ugteaching@ucl.ac.uk

Last updated

This module description was last updated on 8th April 2024.

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Important information

The catalogue has been updated with key information about the modules that will run during the 2024/25 academic session. Current and prospective students can browse through the catalogue to consider possible module choices for the coming year.

Please note,听information in the catalogue is听subject to change as teaching and assessment arrangements for 2024/25 may need to be adjusted in line with the University's Feedback and Assessment principles and operating model.

Centrally managed exam durations will be provided on students' individual exam timetables. Arrangements for locally managed exams and in-class activity will be confirmed by the teaching department for the module.

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