Algebraic Extensions of Fields, Splitting Fields and Algebraic Closures, Separable and Inseparable Extensions, Cyclotomic Polynomails and Extensions, Basics of Galois theory, Fundamental Theorem and Galois Theory, Finite Fields, Composite Extensions and simple Extensions, Cyclotomic Extensions and Abelian Extensions over q, Galois Group of Polynomials, Solvable and Radical extensions, Insolvability of the quintic equations.
- Teacher: ma18d020 RAHUL BALU GIRME
- Teacher: Sarang Sane