In Galois theory, a branch of mathematics, the embedding problem is a generalization of the inverse Galois problem. Roughly speaking, it asks whether a given Galois extension can be embedded into a Galois extension in such a way that the restriction map between the corresponding Galois groups is given.
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“Only in the problem play is there any real drama, because drama is no mere setting up of the camera to nature: it is the presentation in parable of the conflict between Man’s will and his environment: in a word, of problem.”
—George Bernard Shaw (1856–1950)