𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On tame and wild kernels of special number fields

✍ Scribed by Kevin Hutchinson


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
386 KB
Volume
107
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Γ‰tale wild kernels of exceptional number
✍ Kevin Hutchinson πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 251 KB

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

Tame kernels of pure cubic fields
✍ Xiao Yun Cheng πŸ“‚ Article πŸ“… 2011 πŸ› Institute of Mathematics, Chinese Academy of Scien 🌐 English βš– 227 KB
The wild kernel of exceptional number fi
✍ Dermot Ryan πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 282 KB

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

On Tame Kernels and Ideal Class Groups
✍ Hai Yan Zhou πŸ“‚ Article πŸ“… 2007 πŸ› Institute of Mathematics, Chinese Academy of Scien 🌐 English βš– 161 KB
The 2-Sylow Subgroup of the Wild Kernel
✍ 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