MA 55300, Fall 2009
Course Info.
Exam Info.
Assignments
- HW12: due Fri. Dec. 4
- HW11: due Mon. Nov. 30
- HW10: due Wed. Nov. 18
- HW9: due Wed. Nov. 11
- HW8: due Fri. Nov. 6
- HW7: due Wed. Oct. 28
- HW6: due Wed. Oct. 21
- HW5: due Wed. Oct. 14
- HW4: due Wed. Sept. 23
- HW3: due Wed. Sept. 16
- HW2: due Fri. Sept. 11
- HW1: due Wed. Sept. 2
Other Information
- Cyclicity of group of units in Z/p^n
- Construction of solvable polynomials
- Simple Groups
- Ruler+compass constructibility:axioms
- Constructible fields & quadratic towers
- GAP-a powerful group theory program
- Integer solutions of X^2 + 4 = Y^3
- n=a^2+b^2
- Integer solutions of X^2 + 2 = Y^3
Course Description
Credit Hours: 3.00. Group theory: Sylow theorems, Jordan Hlder theorem, solvable groups. Ring theory: unique factorization in polynomial rings and principal ideal domains. Field theory: ruler and compass constructions, roots of unity, finite fields, Galois theory, solvability of equations by radicals. Typically offered Fall.
Instructor Info.
Section | Room | Time | Instructor | Office | |
---|---|---|---|---|---|
MA 55300 001 | MATH 211 | 9:30am | MWF | Lipman, Joseph | MATH 750 |
Course Materials
There are no materials for this course.
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