Let p be an odd prime. Let k be an algebraic number field and let k be the compositum of all the Z p -extensions of k, so that Gal( k/k) Z d p for some finite d. We shall consider fields k with Gal(k/Q) (Z/2Z) n . Building on known results for quadratic fields, we shall show that the Galois group of
โฆ LIBER โฆ
Normal basis and Greenberg's conjecture
โ Scribed by Keiichi Komatsu
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 362 KB
- Volume
- 300
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
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to my teacher, professor tsuneo kanno, on his 70th birthday For an odd prime number p and a real quadratic field k, we consider relative unit groups for intermediate fields of the cyclotomic Z p -extension of k and discuss the relation to Greenberg's conjecture. 1997 Academic Press 2 which were def
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