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Galois theory: An introduction for (talented) beginners

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Author(s): Stephen McAdam
Series: lecture notes
Year: 2009?

Language: English
Commentary: Downloaded from https://web.ma.utexas.edu/users/mcadam/monographs/Galois_Theory/ , combined and ocred

Title
1. Introduction
2. Cubic equations
3. Solvable by radicals
4. The complex numbers
5. Number fields
6. Adjoining elements
7. Polynomials
8. Algebraic elements
9. The k-th roots of unity
10. Isomorphisms
11. Splitting fields
12. Galois extensions
13. Root towers
14. Groups
15. Symmetric groups
16. Subgroups
17. Solvable groups
18. Galois groups
19. Abelian Galois groups
20. Solvable Galois groups
21. Fixed fields, I
22. Root towers revisited
23. Main theorem
24. Dimension
25. Dimension II
26. Dimension III
27. Fixed fields II
28. Fundamental theorem