Mathematics 552 Information
Abstract Algebra II
Information concerning the course Mathematics 552 (Abstract
Algebra II)
taught in Spring 2021 by J. Tunnell is kept here.
The course will be a continuation of Mathematics 551.
It will meet online Monday and Thursday 10:20-11:40 .
The following information is currently available about this
course.
Note this syllabus may be revised as the semester progresses.
- Description
- Week 1
-
- Text Readings: Jacobson I:7.1-7.2, Jacobson II: 1.1-1.3 , 3.1, 3.7-3.9
- Week 1 Problem set 1 (Due 1/28/21)
- Week 1 expository reading:
- Week 2
-
- Text Readings: Jacobson II: 3.10
- Week 2 Problem set 2 (Due 2/4/21)
- Week 2 expository reading:
- Week 3
-
- Text Readings: Jacobson II: 3.2, 3.5
- Week 3 Problem set 3 (Due 2/11/21)
- Week 3 expository reading:
- Week 4
-
- Text Readings: Jacobson II: 4.1-4.4
- Week 4 Problem set 4 (Due 2/18/21)
- Week 4 expository reading:
- Week 5
-
- Text Readings: Jacobson II: 4.5, 5.1, 5.2
- Week 5 Problem set 5 (Due 2/25/21)
- Week 5 expository reading:
- Week 6
-
- Text Readings: Jacobson II: 5.1, 5.2, 5.3, 5.5, 5.6
- Week 6 Problem set 6 (Due 3/4/21)
- Week 7
-
- Text Readings: Field extensions, Galois extensions: Jacobson I: 4.1,4.5
- Week 7 Problem set 7 (Due 3/11/21)
- Week 8
-
- Text Readings: Galois Extensions, Gauss Lemma: Jacobson I: 2.16, 4.5
- Week 8 Problem set 8 (Due 3/25/21)
- Week 9
-
- Text Readings: Separable polynomials and Galois Theory: Jacobson
I: 4.4,4.5
- Week 9 Problem set 9 (Due 4/1/21)
- Week 10
-
- Text Readings: Galois Theory and Theory of Fields: Jacobson I: 4.5,4.6
- Week 10 Problem set 10 (Due 4/8/21)
- Week 10 expository reading:
- Week 11
-
- Text Readings: Solvable groups, Solvability by Radicals, Galois
groups of polynomials: Jacobson
I: 4.6,4.7,4.8-4.11,4.16
- Week 11 Problem set 11 (Due 4/15/21)
- Week 12
-
- Text Readings: Applications of finite fields; Central Simple
Algebras: Jacobson I:4.16, Jacobson II:4.6, 4.7
- Week 12 Problem set 12 (Due 4/22/21)
- Week 13
-
- Text Readings: More on Central Simple
Algebras: Jacobson I:4.16, Jacobson II:4.6, 4.7
- HOMEWORK submissions
-
- Homework will be accepted for grading until 5:00 PM, May 8.
It can be submitted in Canvas.
- Final problem set. Version
2' (4/30/21 10:00 AM)
-
- There will be a final problem set in place of an in-class final.
It should be turned in as a Canvas assignment.