On Steinitz classes of nonabelian Galois extensions and p-ary cyclic Hamming codes

On realizable Galois module classes and

On realizable Galois module classes and Steinitz classes of nonabelian extensions

✍ Clement Bruche; Bouchaïb Sodaïgui 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 267 KB

Let k be a number field and O k its ring of integers. Let Γ be a finite group, N/k a Galois extension with Galois group isomorphic to Γ , and O N the ring of integers of N . Let M be a maximal O k -order in the semisimple algebra k[Γ ] containing O k [Γ ], and Cl(M) its locally free class group. Whe