Some finiteness results in the higher K-theory of orders and group-rings

DOI10.1016/0166-8641(87)90013-7zbMath0608.18005OpenAlexW2064779936MaRDI QIDQ1086340

Aderemi O. Kuku

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90013-7

zbMATH Keywords

K-theoryarithmetic groupCartan homomorphismgroup-ringsorders in semi-simple algebrassimply connected H-space

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) (K)-theory of global fields (11R70) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (11)

Unnamed Item ⋮ \(K_ 2\) invariants of 3-dimensional pseudoisotopies ⋮ Finiteness of higher \(K\)-groups of orders and group rings ⋮ Finiteness properties of automorphism spaces of manifolds with finite fundamental group ⋮ Higher Algebraic K-Theory ⋮ HIGHER CLASS GROUPS OF GENERALIZED EICHLER ORDERS ⋮ Higher Class Groups of Locally Triangular Orders over Number Fields ⋮ Even dimensional higher class groups of orders ⋮ Higher AlgebraicK-Theory ofp-Adic Orders and Twisted Polynomial and Laurent Series Rings Overp-Adic Orders ⋮ Ranks of \(K_n\) and \(G_n\) of orders and group rings of finite groups over integers in number fields ⋮ Some finiteness results for groups of automorphisms of manifolds

Cites Work

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• Higher algebraic K-theory: I
• Some Finiteness Theorems in the K -Theory of Orders in p -Adic Algebras
• $K$-théorie algébrique et représentations de groupes

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