The 2-Sylow subgroup of the wild kernel of exceptional number fields

DOI10.1006/jnth.2000.2590zbMath1012.11102OpenAlexW2088287141MaRDI QIDQ5931316

Kevin Hutchinson

Publication date: 24 April 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2ba3966f4bef5c7581a6947125d0a39ee491b83f

zbMATH Keywords

exceptional number fieldsK-theorywild kernel

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Symbols, presentations and stability of (K_2) (19C20)

Related Items (10)

On tame and wild kernels of special number fields ⋮ Splitting in the \(K\)-theory localization sequence of number fields ⋮ The wild kernel of exceptional number fields. ⋮ Higher wild kernels and divisibility in the \(K\)-theory of number fields ⋮ 2-group of positive classes of a number field and wild kernel of \(K\)-theory. ⋮ Étale wild kernels of exceptional number fields ⋮ Logarithmic approach of the étale wild kernels of number fields. ⋮ Computation of 2-groups of narrow logarithmic divisor classes of number fields ⋮ Computation of 2-groups of positive classes of exceptional number fields ⋮ On the splitting of the exact sequence, relating the wild and tame kernels

Cites Work

• On the structure of the \(K_ 2\) of the ring of integers in a number field
• Generating the tame and wild kernels by Dennis-Stein symbols
• Relations between \(K_2\) and Galois cohomology
• An idelic approach to the wild kernel
• Conditions under which $K₂(
• Introduction to Algebraic K-Theory. (AM-72)
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