Courses :: Module, GROUP THEORY 2

	Overview
	Module Objective: To further develop the student's understanding of group theory. Group actions, orbit stabilizer theorem. Sylow�s theorem, p-groups. Semi-direct products. Soluble groups. Simplicity of A_n for n>4. One additional topic, which might be selected from: Nilpotent groups; Linear groups; Free groups, generators and relations; Jordan-Holder theorem.

Overview

Module Objective: To further develop the student's understanding of group theory. Group actions, orbit stabilizer theorem. Sylow�s theorem, p-groups. Semi-direct products. Soluble groups. Simplicity of A_n for n>4. One additional topic, which might be selected from: Nilpotent groups; Linear groups; Free groups, generators and relations; Jordan-Holder theorem.

	Learning Outcomes
	On successful completion of the module, students should be able to: State and prove Sylow's Theorem. Compute various central series of a finite group. State and prove the Orbit Stabilizer Theorem. Understand concrete finite simple groups. Understand the basics of free presentations. State, prove & apply any theorems covered in the course. Deduce simple properties which follow from any definitions or theorems given in the course.

Learning Outcomes

	Autumn Supplementals/Resits
	Are supplemental/resit registrations permitted? Yes Continuous assessment mark is carried forward to the Autumn. University scheduled written examination (Autumn): 120 minutes, On-campus

Autumn Supplementals/Resits

	Pre-Requisites
	MT342P

Pre-Requisites

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Courses / Module

GROUP THEORY 2

Semester 1

Semester 2