Conjectures de Greenberg et extensions¶pro-p-libres d'un corps de nombres
✍ Scribed by Arthur Lannuzel; Thong Nguyen Quang Do
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 175 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0025-2611
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In a cyclic number field KÂQ of prime degree, we determine the Galois structure of S-units, for all Galois invariant finite set S of places of K. In particular, we study the links between this structure and that of the S-class group. ## 2000 Academic Press Dans un corps de nombres KÂQ cyclique de
We compute the 2-rank of the wild kernel WK 2 ðF Þ of a number field by constructing a 2class group ad hoc. The main result generalizes in the more intricate case l ¼ 2 the canonical isomorphism l m F # Z f Cl Cl F C l WK 2 ðF Þ established for odd primes l under the assumption m l CF in a previous