- Sage Group Theory Primer
- SAGE Home
- Public Server
- SAGE for Newbies
- Reference Manual
- UPS Sage, TeX, Beamer Seminar
- Worksheet: Intro to Sage
- Worksheet: Stein's Intro to Sage, PNW MAA, Spring 2008

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

- 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)

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

Extra Exercises [PDF]

Chapter | Computational | Theoretical |
---|---|---|

0 | 18, 25 | 8, 9, 22c, 28, 29 |

1 | 15 | 5, 10, 16, 18, 27 |

2 | 1, 3, 5, 6, 10, 17, 32 | 29, 30, 31, 38, 43, 44, 45, 46, 53 |

3 | 3, 4, 5, 6, 7, 8, 9, 11, 20, 21, 22b | 24, 26, 27, 28, 30, 34, 37 |

4 | 2, 3, 5, 7, 9, 10, 15 | 4, 18, 20, 23, 25, 27, 30, 33, 35 |

5 | 1, 2, 5 | 3, 6, 11, 12, 17, 19, 20, 21, 22, 24 |

8 | 3, 5, 10, 12, 14, 16, 17 | 20, 21, 22, 24, 25, 29, 34, 35, 38, 48 |

9a | 1bcd, 2, 3, 6 | 13, 17, 18, 20, 22, 23, 25, 26, 28 |

9b | 5, 7, 8, 9, 10; Additional: 7, 8 | 12, 27, 29, 30; Additional: 2, 3, 9, 10 |

11 | 1, 2, 3, 4bc | 6, 9, 11, 12, 13 |

12 | 2, 3, 4, 6, 9, 11, 13, 17 (S_3 only) | 20, 22, 24 |

13 | 1, 2, 3, 5, 6, 9, 15, 16, 17, 24 | 4, 7, 8, 10, 12, 14, 21 |

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.

- Make your subject line exactly, exactly as follows: Chapter X, where X is the chapter covered. Do not send your answers to my beezer(at)ups(dot)edu address, but do send them to the address announced in class.
- Put your full name as the first line of the body of your message.
- Answer the questions in order, beginning each with the problem number.
- Answers are due at midnight in the evening on the day before we begin discussing each new chapter. They will not be accepted late.

Reading Questions [PDF]

These are due via email prior to the Problem Session for each chapter.

This is: http://buzzard.ups.edu/courses/2009fall/m433f2009.html

Maintained by: Rob Beezer

Last updated: August 31, 2009