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A remark on transitivity of Galois action on the set of uniquely divisible abelian extensions in

✍ Scribed by Misha Gavrilovich


Book ID
113073701
Publisher
Springer
Year
2008
Tongue
English
Weight
307 KB
Volume
38
Category
Article
ISSN
0920-3036

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On Galois structure of the integers in e
✍ Yoshimasa Miyata πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 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