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Math 611612
20142015
Lecture: Tuesday, Thursday 1:302:45, in Keller 403
Instructor:
Ralph Freese
Office: 305 Keller
email:email me
Office hours: TTh 2:453:15, F 12 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.
Research: The UH library has a
guide for math graduate students on
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 5054 for calculating the Galois group of cubics and quartics.
 Galois GroupsSmall Galois Groups.
See pages 5054 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
