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On coherent families of uniformizing elements in some towers of Abelian extensions of local number fields

✍ Scribed by L. V. Kuz’min


Publisher
Springer US
Year
2010
Tongue
English
Weight
125 KB
Volume
166
Category
Article
ISSN
1573-8795

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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