Galois module structure of the integers in weakly ramified extensions
Let \(L/K\) be a fully ramified Galois extension of local number fields where \([K: \mathbb{Q}_ p]<\infty\), \(\mathbb{Q}_ p\) denoting the field of \(p\)- adic numbers. If \(L/K\) is weakly ramified in the sense of Erez, we determine the \(\mathbb{Z}_ p [G]\)-module structure of the ring of integers of \(L\) explicitly in terms of indecomposable \(\mathbb{Z}_ p [G]\)-modules.
fully ramified Galois extension of local number fields
\(\mathbb{Z}_ p [G]\)- module structure of the ring of integers
scientific article; zbMATH DE number 734503