Syllabus:
Rings and Fields: U.F.D., P.I.D, factorization of polynomials. Field extensions. Normal extensions, Separable extensions. Galois extensions, Galois group. Fundamental theorem of Galois Theory. Cyclic Extensions, Solvability by radicals. Geometric constructions.
Groups: Solvable and nilpotent groups. Presentation of groups. Fundamental theorem for finitely generated Abelian groups. Semi-direct products, amalgamated products and HNN- extensions.
Prerequisite(s): Algebra 1.
References: