MA 55300 - Introduction to Abstract Algebra

Group theory: Sylow theorems, Jordan-Holder theorem, solvable groups. Ring theory: unique factorization in polynomial rings, and principal ideal domains. Field theory: straightedge and compass constructions, roots of unity, finite fields, Galois theory, and solubility of equations by radicals.

Preparation for Course
P: MA 45300.

Cr. 3.
Dual Level Course
Eligible for graduate credit.