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Galois scaffolds and Galois module structure in extensions of characteristic p local fields of degree p2

✍ Scribed by Byott, Nigel P.; Elder, G. Griffith


Book ID
120623456
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
315 KB
Volume
133
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES


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✍ 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

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Let k be a number field with ring of integers O k , and let be the dihedral group of order 8. For each tame Galois extension N/k with group isomorphic to , the ring of integers O N of N determines a class in the locally free class group Cl(O k [ ]). We show that the set of classes in Cl(O k [ ]) rea