Let Kรk be an extension of degree p 2 over a p-adic number field k with the Galois group G. We study the Galois module structure of the ring O K of integers in K. We determine conditions under which the invariant factors of Kummer orders O K t in O K of two extensions coincide with each other and gi
โฆ LIBER โฆ
On the Galois Module Structure of Ideals and Rings of All Integers of p-Adic Number Fields
โ Scribed by Y. Miyata
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 760 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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In the present paper we deal with the canonical projection Pic Z Here p is any odd prime number, `pk k =1 and C n is the cyclic group of order p n . I proved in (Stolin, 1997), that the canonical projection Pic Z[`n] ร Cl Z[`n] can be split. If p is a properly irregular, not regular prime number, t