Search: MSC category 20C11 ( $p$-adic representations of finite groups )
 Biquadratic Extensions with One Break 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]. Categories:11S15, 20C11