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Subjects
11-XX Number theory
11Sxx Algebraic number theory: local and $p$ -adic fields
11S15 Ramification and extension theory

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Higher fields of norms and $(ϕ, Γ)$ -modules.

Scholl, Anthony J. (2007)

Documenta Mathematica

Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields

Jordi Guàrdia, Jesús Montes, Enric Nart (2011)

Journal de Théorie des Nombres de Bordeaux

We present an algorithm for computing discriminants and prime ideal decomposition in number fields. The algorithm is a refinement of a $p$ -adic factorization method based on Newton polygons of higher order. The running-time and memory requirements of the algorithm appear to be very good.

Higher ramification in Hensel fields.

N. Sankaran, Ram Avtar (1979)

Journal für die reine und angewandte Mathematik

Hopf Galois structures on degree $p^{2}$ cyclic extensions of local fields.

Childs, Lindsay N. (1996)

The New York Journal of Mathematics [electronic only]

Hopf structure and the Kummer theory of formal groups.

M.J. Taylor (1987)