We clarify the relationship between higher Γ©tale 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 Γ©tale wild kernel and the group of infinitely divisible eleme
On tame and wild kernels of special number fields
β Scribed by Kevin Hutchinson
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 386 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0022-314X
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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
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