Shun'ichi Yokoyama, Manabu Yoshida
Published 2011-05-27, updated 2013-02-05Version 2
In this note, we give a criteria whether given two Eisenstein polynomials over a padic field define the same extension (Proposition 1.6). In particular, we completely identify Eisenstein polynomials of degree p (Theorem 1.16). This note is an English translation of a part of the original paper [12].
Extensions of degree p^l of a p-adic field
On wild extensions of a p-adic field
On multiplicity in restriction for $p$-adic groups
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