Contents
Rhea Section for MA453: "Abstract Algebra"
Professor Walther, Fall 2013
Welcome!
Please write [[Category:MA453Fall2013Walther]] at the bottom of each of your pages,
OTHERWISE NO CREDIT !
(If you use the "Create a child page" button, this should happen automatically...)
Course Info
- Instructor: Prof. Walther
- Office: MATH 746
- email: walther at math dot purdue
- Office hours: Tue 12:30-1:30, Th 1:30-2:00.
- Book: Contemporary Abstract Algeba by J. Gallian, Edition 8
Important Links
Course Related Material
- Course Notes
- Discussion of Homework Problems (Just keep adding to it!)
- Fall 2013 Study Group Meetings
Discussion
- post link to discussion page here
- post link to discussion page here
Other Links
- Math Club Homepage
- Rhea's Math Squad
- Study Abroad
- The Big 10 Graduate School Expo 2013
- Math Internships
- Math Game Competition
Your turn! Student Projects
As per the syllabus, 5% of your grade will be based on contributing a Rhea page on a subject related to the course . To pick a subject, simply write your name next to it. Please no more than one student per subject. Your page will be graded based on content as well as interactions with other people (page views, comments/questions on the page, etc.). The number of links to other courses and subjects will also be taken into account: the more the merrier! Please do not simply copy the lecture notes and do not plagiarize. Read Rhea's copyright policy before proceeding.
For some lovely contributions, see Honors Project 2011 by Daniel Lee
Deadline: Sunday before dead week (Dec 1, 2013)
| Topic Number | Topic Description | Team Name |
|---|---|---|
| 1 | The Burnside theorem and counting orbits | Name |
| 2 | p-groups and the Sylow theorems | Team 7 |
| 3 | Penrose tilings | Team 1 |
| 4 | Classifying Platonic solids via subgroups of SO(3) | Team 5 |
| 5 | Quadratic forms, the spectral theorem, and signature | Name |
| 6 | Pell's equation: subgroups of the solution set | Name |
| 7 | What polynomials allow explicit formulae for solutions? | Name |
| 8 | The classification of finite simple groups | Name |
| 9 | The monster groups and other sporadic groups | Team2 |
| 10 | Origami and groups | Team6 |
| 11 | Lie groups | Name |
| 12 | Crystals and symmetries | Team 3 |
| 13 | Elliptic curves and public key cryptography | Team 4 |
