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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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In this paper we state the problem of Galois module structure of rings of integers of extensions attached to the elliptic curves without complex multiplication and admitting a rational point of finite order. Our main aim is to give the first results related to this problem. These results are an anal

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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