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Relative Galois module structure of rings of integers of absolutely abelian number fields

✍ Scribed by Johnston, Henri

Book ID: 118741244
Publisher: Walter de Gruyter GmbH & Co. KG
Year: 2008
Tongue: English
Weight: 220 KB
Volume: 2008
Category: Article
ISSN: 0075-4102
DOI: 10.1515/CRELLE.2008.050

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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