Zp-Extensions of complex multiplication fields
✍ Scribed by Ina Kersten; Johannes Michaliček
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 996 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let k be a real abelian number field with Galois group 2 and p an odd prime number. Denote by k the cyclotomic Z p -extension of k with Galois group 1 and by k n the nth layer of k Âk. Assume that the order of 2 is prime to p and that p splits completely in kÂQ. In this article, we describe the orde
Let k be a finite extension of Q and p a prime number. Let K be a Z p -extension of k and S the set of all prime ideals in k which are ramified in K. We denote by A$ the p-Sylow subgroup of the S-divisor class group of K. We give a criterion for A$ =0 which can be applied for general Z p -extensions