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Generic polynomial
In Galois theory, a generic polynomial for a finite group G and field F is a monic polynomial P with coefficients in the field L = F(t1, ..., tn) of F with n indeterminates adjoined, such that the splitting field M of P has Galois group G over L, and such that every extension K/F with Galois group G can be obtained as the splitting field of a polynomial which is the specialization of P resulting from setting the n indeterminates to n elements of F.
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