MA 55300, Fall 2012
Course Info.
Resources
- Kronecker-Jacobi symbol; quadratic reciprocity
- Galois for 21st century
- Galois and solvable groups
- Group of units mod prime power
- Fundamental theorem of Galois theory
- Discriminants
- Notes on separabiliity
- Euclid's Elements
- Straightedge-and-compass constructions
- Adjoining a root of a polynomial
- Imaginary quadratic UFDs
- Survey of Euclidean algebraic number-rings
- Groups of order p^2q
- Isomorphisms of semi-direct products
- GAP (group theory program)
- Burnside: Groups of finite order
- History behind Galois theory
Exam Info.
Assignments
- HW13, due Mon. Dec. 3
- HW12, due Mon. Nov. 26
- HW11, due Fri. Nov. 16
- HW10, due Fri. Nov. 9
- HW9, due Wed. Oct. 31
- HW8, due Wed. Oct. 24
- HW7, due Fri. Oct. 19
- HW6, due Fri. Oct. 12.
- HW5, due Fri. Sept. 28
- HW4, due Wed. Sept. 19
- HW3, due Wed. Sept. 12
- HW2, due Wed. Sept. 5
-
HW1, due Wed. Aug. 29
Other Information
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 | REC 121 | 11:30am | MWF | Lipman, Joseph | MATH 750 |
Course Materials
There are no materials for this course.
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