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On the Relation between 2 and ∞ in Galois Cohomology of Number Fields

✍ Scribed by Alexander Schmidt


Book ID
110392463
Publisher
Cambridge University Press
Year
2002
Tongue
English
Weight
208 KB
Volume
133
Category
Article
ISSN
0010-437X

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On Galois structure of the integers in e
✍ Yoshimasa Miyata 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 212 KB

Let p be an odd prime number and k a finite extension of Q p . Let K/k be a totally ramified elementary abelian Kummer extension of degree p 2 with Galois group G. We determine the isomorphism class of the ring of integers in K as an oG-module under some assumptions. The obtained results imply there