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- W2899204428 abstract "In the previous chapters we have developed group theory, field theory, and in particular, Galois theory to a sufficiently high level, allowing us to consider applications to some prominent classical problems. We start in Sect. 6.1 with the problem of solving algebraic equations by radicals , which is the problem that motivated E. Galois to work out his “Galois” theory. In particular, we show for a monic separable polynomial f with coefficients in a field K that the algebraic equation f(x) = 0 is solvable by radicals if and only if the corresponding Galois group is solvable in the group-theoretic sense." @default.
- W2899204428 created "2018-11-09" @default.
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- W2899204428 date "2018-01-01" @default.
- W2899204428 modified "2023-09-27" @default.
- W2899204428 title "Applications of Galois Theory" @default.
- W2899204428 doi "https://doi.org/10.1007/978-3-319-95177-5_6" @default.
- W2899204428 hasPublicationYear "2018" @default.
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