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Biquadratic Extensions with One Break
Published online by Cambridge University Press: 20 November 2018
Abstract
We explicitly describe, in terms of indecomposable ${{\mathbb{Z}}_{2}}\left[ G \right]$-modules, the Galois module structure of ideals in totally ramified biquadratic extensions of local number fields with only one break in their ramification filtration. This paper completeswork begun in [Elder: Canad. J.Math. (5) 50(1998), 1007–1047].
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- Copyright © Canadian Mathematical Society 2002
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