Ranks of \(K_n\) and \(G_n\) of orders and group rings of finite groups over integers in number fields

DOI10.1016/S0022-4049(98)00010-3zbMath0936.11067MaRDI QIDQ1295756

Aderemi O. Kuku

Publication date: 24 May 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

ordersrankgroup ringsQuillen \(K\)-group

Mathematics Subject Classification ID

Computations of higher (K)-theory of rings (19D50) (K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (6)

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

• K-theory of group-rings of finite groups over maximal orders in division algebras
• Some finiteness results in the higher K-theory of orders and group-rings
• Integral representations. Topics in integral representation theory by I. Reiner. Integral representations and presentations of finite groups by K. W. Roggenkamp
• \(SG_n\) of orders and group-rings
• The cartan map for equivariant higher algebraic k-Groups
• Higher algebraic k-theory of group-rings and orders in algebras over number fields
• Stable real cohomology of arithmetic groups
• Some Finiteness Theorems in the K -Theory of Orders in p -Adic Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ranks of \(K_n\) and \(G_n\) of orders and group rings of finite groups over integers in number fields