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Note on the rings of integers of certain tame 2-galois extensions over a number field

โœ Scribed by H. Ichimura


Publisher
Vandenhoeck & Ruprecht
Year
2006
Tongue
German
Weight
268 KB
Volume
76
Category
Article
ISSN
0025-5858

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On Galois structure of the integers in e
โœ Yoshimasa Miyata ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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