On the Computation of All Extensions of a p-Adic Field of a Given DegreeReport as inadecuate




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1 CICMA 2 IGD - Institut Girard Desargues

Abstract : Let k be a p-adic field. It is well-known that k has only finitely many extensions of a given finite degree. Krasner has given formulae for the number of extensions of k of a given degree and discriminant. Following his work, we present an algorithm for the computation of generating polynomials for all these extensions.





Author: Sebastian Pauli - Xavier-François Roblot -

Source: https://hal.archives-ouvertes.fr/



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