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1 Galois Theory

• 1. The Galois Group
• 2. Symmetric functions
• 3. Normal extensions
• 4. Fundamental Theorem of Galois Theory

2 Solvability

• 1. Solvability by radicals
• 2. Unsolvability of $S_n$
• 3. Unsolvability of the quintic
• 4. No formula for roots