Generating the tame and wild kernels by Dennis-Stein symbols

DOI10.1007/BF01046939zbMath0761.11040MaRDI QIDQ1198529

Thom Mulders

Publication date: 16 January 1993

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

generatorswild kerneltame kernelfundamental unitsclass field theoryDennis-Stein symbols

Mathematics Subject Classification ID

Class field theory (11R37) (K)-theory of global fields (11R70) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Related Items (5)

Linear groups over general rings. I: Generalities. ⋮ The wild kernel of exceptional number fields. ⋮ The 2-Sylow subgroup of the wild kernel of exceptional number fields ⋮ Finding non-trivial elements in \(K_ 2({\mathcal O}_ F)\) for imaginary quadratic number fields \(F\) ⋮ Explicit formulas for the Chern character in algebraic \(K\)-theory.

Cites Work

• Unnamed Item
• \(K_ 2\)-analogs of Hasse's norm theorems
• On the structure of the \(K_ 2\) of the ring of integers in a number field
• Another presentation for the \(K_ 2\) of a local domain
• Relations between \(K_2\) and Galois cohomology
• A finiteness theorem for K\(_2\) of a number field
• On the size of certain k-groups
• Introduction to Algebraic K-Theory. (AM-72)

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