MT5824 Topics in Groups

In Semester 1, 2009, I shall be giving a 24 lecture course entitled Topics in Groups. Information and handouts (in PDF format) may be found on this page.

Current Announcements

All handouts, etc., are now fully updated.

Handouts

Handout 0: Course Information
Handout I: Revision and Re-Activation
Handout II: Group Actions
Handout III: Cauchy's Theorem and Sylow's Theorem
Handout IV: The Jordan-Hölder Theorem
Handout V: Building Groups
Handout VI: Soluble Groups
Handout VII: Nilpotent Groups

Lecture Notes

Introduction
Section 1: Revision and Re-Activation
Section 2: Group Actions
Section 3: Cauchy's Theorem and Sylow's Theorem
Section 4: The Jordan-Hölder Theorem
Section 5: Building Groups
Section 6: Soluble Groups
Section 7: Nilpotent Groups

Problem Sheets

Problem Sheet I: Revision and Re-Activation (solutions currently unavailable)
Problem Sheet II: Group Actions (solutions currently unavailable)
Problem Sheet III: Cauchy's Theorem and Sylow's Theorem (solutions currently unavailable)
Problem Sheet IV: The Jordan-Hölder Theorem (solutions currently unavailable)
Problem Sheet V: Direct products and semidirect products (solutions currently unavailable)
Problem Sheet VI: Soluble groups (solutions currently unavailable)
Problem Sheet VII: Nilpotent groups (solutions currently unavailable)

Examination Questions

For recent exam papers, see the School of Mathematics & Statistics Exams Archive.
Previous papers: January 2005, January 2006.
Solutions to some past papers: January 2005, January 2006, January 2008
Sample examination questions (originally circulated in 2004, with rough! solutions)

Slides

The following are printable versions of the slides I shall be using.

Introduction
Section 1: Revision and Re-Activation
Section 2: Group Actions
Section 3: Cauchy's Theorem and Sylow's Theorem
Section 4: The Jordan-Hölder Theorem
Section 5: Building Groups
Section 6: Soluble groups
Section 7: Nilpotent groups

Martyn Quick / martyn

mcs.st-and.ac.uk / 15th June 2010