\(SG_n\) of orders and group-rings

DOI10.1007/BF01437564zbMath0381.16014MaRDI QIDQ1248145

Aderemi O. Kuku

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/172807

zbMATH Keywords

CENTRAL DIVISION ALGEBRASGROUP RINGSHIGHER K- GROUPSMAXIMAL ORDERSSEMISIMPLE ALGEBRAS

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K)-theory of local fields (11S70) Division rings and semisimple Artin rings (16Kxx)

Related Items (8)

Some finiteness results in the higher K-theory of orders and group-rings ⋮ Unnamed Item ⋮ Classification of nilpotent linear spaces in M(4;C) ⋮ Higher Algebraic K-Theory ⋮ 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 ⋮ K-theory of group-rings of finite groups over maximal orders in division algebras ⋮ Higher algebraic k-theory of group-rings and orders in algebras over number fields

Cites Work

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• On the cohomology and K-theory of the general linear groups over a finite field
• Whitehead group of orders in p-adic semi-simple algebras
• Some Finiteness Theorems in the K -Theory of Orders in p -Adic Algebras
• Values of Tame Symbols on Division Algebras
• A Transfer Map in K -Theory

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