\(K_ 2\) of p-adic group rings of abelian p-groups

DOI10.1007/BF01166703zbMath0625.18005MaRDI QIDQ579400

Robert Oliver

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183712

zbMATH Keywords

cyclic homologyWhitehead groupalgebraic K-theoryring of integers\(K_ 2\)continuous K-theoryfinite unramified extensionlocal group ringsp-adic fieldp-groups

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K)-theory of local fields (11S70)

Related Items (3)

\(K_ 2\) invariants of 3-dimensional pseudoisotopies ⋮ \(K_2\) of cyclic group rings over \(\lambda\)-rings ⋮ Unitary nilpotent groups and the stability of pseudoisotopies

Cites Work

• Unnamed Item
• \(K_ 2\) of non-commutative local rings
• Lower bounds for \(K_ 2^{top}({\hat {\mathbb{Z}}}_ p\pi)\) and \(K_ 2({\mathbb{Z}}\pi)\)
• \(SK_1\) of finite abelian groups. II
• The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras
• The relativization of \(K_2\)
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• The Whitehead transfer homomorphism for oriented $S^1$-bundles.
• $SK_1$ for finite group rings: II.
• SK ₁ for Finite Group Rings: IV
• Introduction to Algebraic K-Theory. (AM-72)

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