Programme/Approved Electives for 2021/22
Available as a Free Standing Elective
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.
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:
48 hours lectures/classes3 hours final examination149 hours private study, reading, problem solving
1: Exam weighted 100%
Description of Module Assessment
3 hour examinationA 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.