Geodesic
Biquadratic Extensions with One Break
Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 168-179

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DOI

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].
DOI : 10.4153/CMB-2002-020-3
Mots-clés : 11S15, 20C11 
Byott, Nigel P.; Elder, G. Griffith. Biquadratic Extensions with One Break. Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 168-179. doi: 10.4153/CMB-2002-020-3
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     title = {Biquadratic {Extensions} with {One} {Break}},
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     pages = {168--179},
     year = {2002},
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     doi = {10.4153/CMB-2002-020-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-020-3/}
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