Abstract Algebra (Math 433), Fall 2015

Textbook, Syllabus and Grades

• Tom Judson, Abstract Algebra: Theory and Applications
• Syllabus
• Syllabus (printable)
• Grades: Math 433, Fall 2015 [Reading Questions and Sage]

Sage

• Sage and Group Theory Worksheets
  • PDF of Sage discussion and exercises
• SageMathCloud
• UPS Sage Server (on-campus, or vDesk, or VPN)
• Sage Algebra Quickref
• Sage Home
• Sage Cell Server
• Sage for Undergraduates, by Gregory Bard [More]
• 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 Adventures in Group Theory [PDF]
• 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. LaTeX syntax is fine for simple expressions.
5. Answers are due at 6 AM on the morning of the day 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.