Galois module structure and rootnumbers for quaternion extensions of degree 2n

Relative Galois Module Structure and Ste

Relative Galois Module Structure and Steinitz Classes of Dihedral Extensions of Degree 8

✍ Bouchaı̈b Sodaı̈gui 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 113 KB

Let k be a number field and O its ring of integers. Let ⌫ be the dihedral group k w x w x Ž . of order 8. Let M M be a maximal O -order in k ⌫ containing O ⌫ and C C l l M M k k Ž . its class group. We denote by R R M M the set of realizable classes, that is, the set of Ž . classes c g C C l l M M s