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Biquadratic Extensions with One Break |
Published:2002-06-01
Printed: Jun 2002
Printed: Jun 2002
- Nigel P. Byott
- G. Griffith Elder
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].
| MSC Classifications: |
11S15 - Ramification and extension theory 20C11 - $p$-adic representations of finite groups |