Abstract
Let K be a local field with residue characteristic p and let L/K be a totally ramified extension of degree pk. In this paper we show that if L/K has only two distinct indices of inseparability then there exists a uniformizer πL for L whose minimum polynomial over K has at most three terms. This leads to an explicit classification of extensions with two indices of inseparability. Our classification extends work of Amano, who considered the case k=1.
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