$\DeclareMathOperator{\Q}{Q} \DeclareMathOperator{\Aut}{Aut}$

# COURSE YEAR 2017

Module - V : July 16, 2017 – July 28, 2017, Kalyan Chakraborty
Topics: Applications of Galois Theory: Primitive element theorem, Funda-mental Theorem of Algebra, Cyclotomic extensions, Dedekind’s theorem on the independence of characters, Normal basis theorem, Hilbert’s Theorem 90, Cyclic extensions, Kummer theory, Proof of Galois’s solvability theorem, Symmetric polynomials, General polynomial of degree n, Norms and traces
Lecture Notes: Will upload after the classes
Homeworks: Will upload after the classes
Solutions: Will upload after the classes