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