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Information Sheet
For Lectures 2, 3: Lang Undergraduate Algebra Sections VII.1 and VII.2
For Lectures 2, 3: Dummit and Foote Sections 13.1 and 13.2
For Lecture 4: Lang Undergraduate algebra VII.3 splitting fields
For Lecture 4:Dummit and Foote 13.4 Splitting fields
For Lecture 5:Lang UA VII.4 Galois theory
For Lecture 5: Samuel VI.1
For Lecture 5: Dummit and Foote 14.1 and 14.2
For Lecture 6:Lang UA VII.5 Quadratic and Cubic Extensions
For Lecture 6: Lang Algebraic Number Theory: Artin's quintic example
For Lecture 7: Lang UA VII.6 Solvability by radicals
For Lecture 7: Lang UA VII.7 Infinite Extensions
For Lecture 7: Dummit and Foote 14.9 Infinite Extensions
For Lecture 8: Lang UA VIII.1-VIII.4 Finite Fields
For Lecture 8: Samuel 1.7 Finite Fields
For Lecture 8: Dummit and Foote 14.3 Finite Fields
For Lecture 9: Dummit and Foote 13.6 Cyclotomic Polynomials
For Lecture 9: Dummit and Foote 14.5 Cyclotomic and Abelian extensions of Q
For Lecture 9: Lang UA VIII.5 Cyclotomoic polynomials
For Lecture 11: Dummit and Foote 14.8 Computations of Galois groups over Q
For Lecture 12: Dummit and Foote 14.6 (See pp. 607-610)
For Lecture 12: Samuel II.1-II.2 Integral Closure
For Lecture 12: Samuel II.5 Quadratic rings of integers
For Lecture 12: Samuel V.5.4, Splitting of primes in quadratic number fields
For Lecture 13: Silverman, Chapter 1, Algebraic varieties
For Lecture 13: Silverman, Chapter 2, Curves
For Lecture 13: W. Goldring, A new proof of Belyi's theorem
For Lecture 13: W. Goldring, Unifying themes suggested by Belyi's theorem

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Modul: MAT546bisFS16 Seminar on Galois Theory