Math 611-612

2014-2015

Lecture: Tuesday, Thursday 1:30-2:45, in Keller 403
Instructor: Ralph Freese
Office: 305 Keller
email:email me
Office hours: T-Th 2:45-3:15, F 1-2 and by appointment
(or just come to my office and see if I'm in)

The final!

Kaplansky's Fields and Rings.

Galois Groups: Small Galois Groups.

\({\rm \TeX}\) (and \({\rm \LaTeX}\)): is a software system for typing mathematics. You will be required to use it for all of your writing in this class.

Instructions for installing and using it. After you have installed it I suggest making a directory (directories are called folders by Mac people) for our class. Something like Math612.
Read part of the book A not so short introduction to TeX. Chapter 3 talks about typesetting math and gives list for all the symbols.
The UH Library's \({\rm \LaTeX}\) pages.

Research: The UH library has a guide for math graduate students on

Getting started with mathematical research.

Book: We will be using N. Jacobson, Basic Algebra I, and Dummit and Foote, Abstract Algebra. The Jacobson book is now in paperback and very inexpensive; Dummit and Foote can also be bought fairly cheaply and there may be electronic versions. We will also use Hungerford for some of the proofs.

Class Notes. Written with help from William DeMeo. The tex file.

Errata for Dummit and Foote

Other Good Books:

Hungerford, Algebra
Isaacs, Algebra
Herstein, Toppics in Algebra (really an undergrad book, but quite good)
Kaplansky, Fields and Rings. See pages 50-54 for calculating the Galois group of cubics and quartics.
Galois GroupsSmall Galois Groups. See pages 50-54 for calculating the Galois group of cubics and quartics.

Homework: Download the first two files and change "Billy Bob" to your name.

William DeMeo's Universal Algebra Notes: UA Notes

Professor Lampe's Group Actions Notes: Group Actions

Burnside Problem: History of the Burnside Problem

Keith Conrad's Expository Notes on Various Parts of Algebra