http://dx.doi.org/10.4153/CMB-2002-020-3
Canad. Math. Bull. 45(2002), 168-179
Published:2002-06-01 Printed: Jun 2002
Nigel P. Byott
G. Griffith Elder
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Abstract
We explicitly describe, in terms of indecomposable $\mathbb{Z}_2
[G]$-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 completes
work begun in [Elder: Canad. J.~Math. (5) {\bf 50}(1998), 1007--1047].
© Canadian Mathematical Society, 2012
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