# Math 745 - Fall 2003

# Nigel Boston

## Contact Information

303 Van Vleck Hall.
Telephone: 263-4753.

E-mail: *boston@math.wisc.edu*

Homepage

Office Hours: W 10:30-11:30, Th 11:00-12:00, or by appointment.

## Sections

- Main Lecture: TR 1:00-2:15, B211 VV.

## Homework Assignments

Four HW questions will be assigned each week for ten weeks. One question
from each batch should be answered and all ten solutions are due on the
last day of classes.

Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Homework 7
Homework 8
Homework 9
Homework 10
## Some Lists of Unsolved Problems

Note: these are NOT homework problems!

Cameron's Problems on Permutation Groups
Mladen Bestvina's Geometric Group Theory Problem List
Older Problems of Peter Cameron
## Local Seminars

UW Group and Ring Theory Seminars
## Answers to All Kinds of Group Theory Questions

Rusin's Selected Topics
## Computer Programs

MAGMA: A huge advanced algebra
software package.
GAP: Another extensive group theory
computer system.
## General Information (e.g. Conferences)

Group Pub Forum
## Online Notes

Milne's Notes
Lie Group Notes
Finite Reflection Groups
## Prof. Isaacs' Notes

Review of Group Actions
Review of Nilpotent Groups and p-Groups
The Fitting and Frattini Subgroups
Cyclic Extensions
General Linear Groups and the Technical Lemma for the J-Theorems
## Books on Group Theory

List of Group Theory Texts
## History of Group Theory

Development of group theory
## Fun Stuff (e.g. Rubik's Cube)

New Rubik's Cube Speed World Champion-August 24, 2003
Speed Cubing
Exhaustive list of Rubik's links
Course based on Rubik's cube
Information on Rubik's cube
## Applications of Group Theory (e.g. Physics, Quantum Chemistry, Wireless Communications)

Vvedensky's notes
Evans' notes
Symmetry in chemistry
Crystal lattice structures
Wallpaper groups
Multiple antenna applications
Symmetries in physics