In this session we prove that C, field of complex numbers, is algebraically closed.
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CSIR-JRF/NET/SET Mathematical Science - Abstract Algebra - Group Theory
Field Theory 7: Splitting Field of a Polynomial
Field Theory 6: Composite Fields
Field Theory 5: Algebraic and Finite Extensions
Field Theory 4: Degree of Tower of Extensions
Field Theory 3: Algebraic Extensions
Field Theory 2: Kronecker's Theorem
Field Theory 1: Basic Definitions, Examples and Results
Galois Theory Lecture 18: Galois Group of Irreducible Cubic Polynomials
Galois Theory Lecture 17: Insolvability of Polynomials of Degree 5
Galois Theory Lecture 16: Solvability of Polynomials by Radicals
Galois Theory Lecture 15: Solvability by radicals
Galois Theory Lecture 14: Cyclotomic Field and Cyclotomic Polynomial
Galois Theory Lecture 13: C is Algebraically Closed
Galois Theory Lecture 12: Example: Illustration of Fundamental Theorem of Galois Theory.
Galois Theory Lecture 11: Application of Fundamental Theorem of Galois Theory
Galois Theory Lecture 10: More on Fundamental Theorem of Galois Theory
Galois Theory Lecture 9: Fundamental Theorem of Galois Theory
Group Theory Lecture 23: More on Nilpotent Group
Group Theory Lecture 22: Nilpotent group
Group Theory Lecture 21: More on Solvable Group
Group Theory Lecture 20: Solvable Group
Group Theory Lecture 19: Jordan-Holder Theorem
Group Theory Lecture 18: Zassenhaus Lemma