Finiteness of higher \(K\)-groups of orders and group rings

DOI10.1007/s10977-005-3120-8zbMath1112.19002OpenAlexW2089910913MaRDI QIDQ864963

Aderemi O. Kuku

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1007/s10977-005-3120-8

zbMATH Keywords

orderdivision algebrasgroup ringtransfer maphigher K-group

Mathematics Subject Classification ID

Computations of higher (K)-theory of rings (19D50) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Negative (K)-theory, NK and Nil (19D35)

Related Items (5)

Profinite higher algebraic \(K\)-theory of twisted flag varieties ⋮ Cohomology for Generalized Bredon Coefficient Systems and Higher K-Theory ⋮ Higher algebraic \(K\)-theory for twisted Laurent series rings over orders and semisimple algebras ⋮ Higher Algebraic K-Theory ⋮ Higher AlgebraicK-Theory ofp-Adic Orders and Twisted Polynomial and Laurent Series Rings Overp-Adic Orders

Cites Work

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• K-theory of group-rings of finite groups over maximal orders in division algebras
• Groupes de Chow et K-théorie de variétés sur un corps fini
• Some finiteness results in the higher K-theory of orders and group-rings
• K-theory of finite dimensional division algebras
• Ranks of \(K_n\) and \(G_n\) of orders and group rings of finite groups over integers in number fields
• Lattices over orders I
• On the cohomology and K-theory of the general linear groups over a finite field
• Higher algebraic k-theory of group-rings and orders in algebras over number fields
• Some Finiteness Theorems in the K -Theory of Orders in p -Adic Algebras

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