For an infinite class of exceptional number fields, F ; we prove that a map of Keune from to the 2-Sylow subgroup of the wild kernel of F is an isomorphism, and in all cases we give an upper bound for the kernel and cokernel of this map. We find examples which show that the map is neither injectiv
Étale wild kernels of exceptional number fields
✍ Scribed by Kevin Hutchinson
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 251 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0022-314X
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✦ Synopsis
We clarify the relationship between higher étale wild kernels of a number field at the prime 2 and the Galois-coinvariants of Tate-twisted class groups in the 2-cyclotomic tower of the field. We also determine the relationship between the étale wild kernel and the group of infinitely divisible elements of H 2 (F, Z 2 (j + 1)){2}.
📜 SIMILAR VOLUMES
In this paper we derive results, for exceptional number fields, about the relationship between the wild kernel, the group of divisible elements in K 2 (F), and classgroups of cyclotomic extensions at the prime 2. We prove that the group of divisible elements in K 2 (F) is generated by Dennis Stein s
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