On \(G_ n(RG)\) for G a finite nilpotent group

DOI10.1016/0021-8693(88)90229-3zbMath0658.16019OpenAlexW2008658412MaRDI QIDQ1111668

Ian Hambleton, Bruce Williams, Laurence R. Taylor

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90229-3

zbMATH Keywords

Grothendieck groupsfinite nilpotent groupsrational representation

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) Integral representations of finite groups (20C10) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items

G-theory of group rings for groups of square-free order ⋮ Higher G-theory of nilpotent group rings ⋮ Higher \(K'\)-groups of integral group rings ⋮ A note on the Hambleton-Taylor-Williams conjecture ⋮ A simple counterexample to the Hambleton-Taylor-Williams conjecture

Cites Work

• The Lenstra map on classifying spaces and G-theory of group rings
• Higher G-theory of nilpotent group rings
• Grothendieck groups of Abelian group rings
• Algebraic \(K\)-theory
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