Finite Groups
and Fusion

Blok 1 - Fall 2010

**Lectures by Ellen
Henke and Jørn
Børling Olsson
**

**Teaching:
**Lectures
tuesdays 13:00 til 15:00 in Aud 10 og fridays 10:00 til 12:00 in
Aud 8

Exercise classes tuesdays 15:00 til 17:00 in A 105 (starting in week 2)

Lectures
start
Tuesday 7. September at 13:15

Exercise classes start Tuesday 15. September at
15:15.

Teaching in a total of 9 weeks.

**Preliminary
plan
for
the
course:
**

Week 3-7 Fusion systems

Week 8 Topological aspects (Guest lecturer Bob Oliver on tuesday. no lecture on friday)

Week 9 Oral presentations

Michael Aschbacher, Radha Kessar and Bob Oliver: FUSION SYSTEMS IN ALGEBRA AND TOPOLOGY pdf-file

1. Introduction pdf-file

2. Alperin's Fusion Theorem (minor changes!!) pdf-file

4. Factor Systems and Surjective Morphisms pdf-file Revised version week 7

5. Normal subsystems pdf-file

Information sheet week 5 pdf-file

Additional material:

contain most of the background results on finite groups which are needed in the course)

(We will discuss parts of chapter G6 in week 1-2)

(Danish version of the above notes)

David Craven: Fusion Systems: Group theory, representation theory, and topology pdf-file

(The author points out, that the notes are incomplete and contain many errors.)

Compulsory activities during the course:

1. Three compulsory assignments (in weeks 3, 5 and 7)

2. Oral presentation in week 8-9. The topics for the oral presentations were presented in the exercise class

on 12. October.

Topics for the oral presentations pdf-file

Schedule for the oral presentations pdf-file (revised!)

Third compulsory exercises