Higher algebraic k-theory of group-rings and orders in algebras over number fields

DOI10.1080/00927878208822751zbMath0489.18005OpenAlexW1964969064MaRDI QIDQ3950710

Aderemi O. Kuku

Publication date: 1982

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878208822751

zbMATH Keywords

integral domaincategory of finitely generated modulesfinite homological dimensionK-groupsGreen modules

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (8)

Some finiteness results in the higher K-theory of orders and group-rings ⋮ Unnamed Item ⋮ Finiteness of higher \(K\)-groups of orders and group rings ⋮ On \(SG_ n\) of orders ⋮ Higher Algebraic K-Theory ⋮ 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 ⋮ Quillen G-theory of Abelian group rings

Cites Work

• Induced representations and projective modules
• Induction and structure theorems for orthogonal representations of finite groups
• \(K_2\) of discrete valuation rings
• \(SG_n\) of orders and group-rings
• The cartan map for equivariant higher algebraic k-Groups
• Unnamed Item
• Unnamed Item

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