Abstract Algebra (Math 433), Fall 2012

Course Syllabus and Textbook

• Judson's Abstract Algebra
• Online Syllabus (HTML)
• Printable Syllabus (PDF)

Sage

• Introductory Worksheet
• RSA Worksheet
• Sage and Group Theory Worksheets
  • PDF of Sage help and exercises
  • Sage Worksheets - entire textbook, Sage help and Sage exercises
  • Sage Worksheets - just Sage exercies, good for starting homework
• Sage Algebra Quickref
• Sage Home
• Public Server
• Sage Cell Server
• Sage Interacts (Social)
• Reference Manual
• UPS Sage, TeX, Beamer Seminar (Fall 2009)

RSA and Cryptography

• RSA Calculator (use small messages to avoid overflow)
• RSA Security's Cryptographic Challenges
• Simon Singh's Cryptography Links

Rubik's Cube

• David Joyner's Cube Page (lots of mathematics)
• Michael Reid's Cube Page (lots of links)
• Georges Helm's Rubik's Cube Page
• Virtual Cube (3x3x3 Java applet)
• Huge Virtual Cube (11x11x11 Java applet at bottom)

Related Links

• Tetrahedron Model from a folded paper plate (symmetry group of A_4)
• Wallpaper Groups
• Abstract Algebra OnLine
• Tom Lehrer 
• Integer Sequence Look-ups
• Atlas of Finite Group Representations (v2.0)
• Numbers of Finite Groups [MathWorld]
• Fiddling with Groups of Small Order (Computer programs from J. Wavrik)
• Hamilton's Quaternion Bridge [Plaque]
• Groups of Small Order, by John Pedersen

Reading Questions

Reading Questions [PDF]

After reading each chapter, send me an email with your answers to each of the five questions. Each answer will be graded as one point, there will be no partial credit. For computational problems, just send an answer, you do not need to justify your work. I will reply with a list of the questions you got credit for. Observe the following to ensure your answers are received properly and graded.

1. Make your subject line exactly, exactly as follows: Chapter X, where X is the number of the chapter. Do not send your answers to my  beezer(at)ups(dot)edu address, but do send them to the address announced in class.
2. Put your full name as the first line of the body of your message.
3. Answer the questions in order, beginning each with the problem number.
4. Endeavor to send your answers as straight ASCII text, no HTML if you can help it. Definitely do not send your responses as an attachment. TeX syntax is fine for simple expressions.
5. Answers are due at midnight in the evening on the day before we begin discussing each new chapter. They will not be accepted late under any circumstances.
6. You can expect a reply the next morning, or within 24 hours at the latest.