Grothendieck groups of integral nilpotent group rings

DOI10.1016/0021-8693(84)90123-6zbMath0547.20005OpenAlexW1992738198MaRDI QIDQ798759

Masahiko Miyamoto

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90123-6

zbMATH Keywords

nilpotent groupsGrothendieck groupcategory of finitely generated RG-modulescentral primitive idempotentirreducible K-character

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items

Higher G-theory of nilpotent group rings ⋮ Equivariant Witt groups of finite groups of odd order ⋮ Higher \(K'\)-groups of integral group rings ⋮ The group \(G_ 1(RG)\) for a nilpotent group G

Cites Work

• Grothendieck groups of Abelian group rings
• K-theory of finite groups and orders. Notes by E. Graham Evans
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