Local root numbers and Hermitian-Galois module structure of rings of integers
✍ Scribed by Ph. Cassou-Noguès; M. J. Taylor
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 500 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0025-5831
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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