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The wild kernel of exceptional number fields

✍ Scribed by Dermot Ryan

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
282 KB
Volume
104
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 injective nor surjective in general.

πŸ“œ SIMILAR VOLUMES

The 2-Sylow Subgroup of the Wild Kernel
The 2-Sylow Subgroup of the Wild Kernel of Exceptional Number Fields
✍ Kevin Hutchinson πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 158 KB

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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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