MAT-40018 - Topics in Group Theory
Coordinator: Paul J Truman Room: MAC2.16 Tel: +44 1782 7 33246
Lecture Time: See Timetable...
Level: Level 7
Credits: 20
Study Hours: 200
School Office: 01782 733075

Programme/Approved Electives for 2022/23

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

MAT-30013 Group Theory

Barred Combinations

None.

Description for 2022/23

The module will showcase a variety of topics in modern groups theory, and illustrate how these techniques and ideas can be combined to shed light on important unsolved mathematical problems, such as the classification of finite groups.

Aims
This module aims to acquaint students with a variety of advanced topics in modern group theory, with particular emphasis on how these may be applied to problems concerning the classification of finite groups of certain orders.

Intended Learning Outcomes

establish and prove some of the major theorems of group theory, and apply these to solve problems concerning groups and their applications: appraise a given finite group and create its automorphism group: evaluate and apply suitable techniques to extension problems for groups:

Study hours

48 hours lectures/classes
3 hours final examination
149 hours private study, reading, problem solving

School Rules

None.

Description of Module Assessment

1: Exam weighted 100%
3 hour examination
A closed book examination assessing students' fluency in the concepts and ideas introduced in the module and their ability to apply these ideas to solve "seen similar" and unseen problems.