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What is Galois Theory: Foundations and Examples about?
1) Galois theory is named after Evariste Galois, a French mathematician born in 1811 who made important contributions before dying in a duel at age 20. 2) Galois groups describe the symmetries of field extensions. The Galois group of a Galois extension E/F consists of the field automorphisms of E that fix F. 3) There is a one-to-one correspondence between subgroups of the Galois group and intermediate fields between E and F, where the intermediate field corresponding to a subgroup H is the set of elemen
- Author
- mansizaveri
- Language
- EN