MATH 500
Spring 2022 Part of Term 1
Jan 18-May 4
Credit: 4 hours.
Isomorphism theorems for groups. Group actions. Composition series. Jordan-Holder theorem. Solvable and nilpotent groups. Field extensions. Algebraic and transcendental extensions. Algebraic closures. Fundamental theorem of Galois theory, and applications. Modules over commutative rings. Structure of finitely generated modules over a principal ideal domain. Applications to finite Abelian groups and matrix canonical forms.
| CRN | Type | Section | Time | Day | Location | Instructor | Section Details | |
|---|---|---|---|---|---|---|---|---|
|
38153
|
Lecture-Discussion
|
N1
|
11:00AM
-11:50AM
|
MWF
|
141 Altgeld Hall
|
Rezk, C
|
|