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- W1996232292 abstract "Abstract Let K := Q(α) be an algebraic number field which is given by specifying the minimal polynomial f(X) for α over Q. We describe a procedure for finding the subfields L of K by constructing pairs (w(X), g(X)) of polynomials over Q such that L = Q( w (α)) and g(X) is the minimal polynomial for w (α). The construction uses local information obtained from the Frobenius-Chebotarev theorem about the Galois group Gal( f ), and computations over p -adic extensions of Q." @default.
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- W1996232292 date "1990-12-01" @default.
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- W1996232292 title "Computing subfields in algebraic number fields" @default.
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- W1996232292 doi "https://doi.org/10.1017/s1446788700032432" @default.
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