On \(G_ n(RG)\) for G a finite nilpotent group
type: Item
instance of: scholarly article
title: On \(G_ n(RG)\) for G a finite nilpotent group
zbMATH Open document ID: 0658.16019
DOI: 10.1016/0021-8693(88)90229-3
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: Let R be a commutative Noetherian ring, let G be a finite group, and let n be a non-negative integer. The authors state a conjectured formula for the group \(G_ n(RG)\), in terms involving the rational representation theory of G, and prove its validity when G is nilpotent. This extends and complements results in [\textit{D. L. Webb}, Invent. Math. 84, 73-89 (1986; Zbl 0589.55008)]. According to a remark of the authors, the result proved here has been obtained independently in [\textit{D. Webb}, J. Algebra 116, No.2, 457-465 (1988; Zbl 0649.16020)].
Mathematics Subject Classification ID: 16E20
Mathematics Subject Classification ID: 20C10
Mathematics Subject Classification ID: 18F30
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 4075321
zbMATH Keywords: Grothendieck groups
zbMATH Keywords: finite nilpotent groups
zbMATH Keywords: rational representation
author: Ian Hambleton
author: Laurence R. Taylor
author: Bruce E. Williams
reviewed by: Kenneth A. Brown
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90229-3
OpenAlex ID: W2008658412
cites work: Grothendieck groups of Abelian group rings
cites work: Q4402511
cites work: Q4061092
cites work: Q4126536
cites work: Algebraic \(K\)-theory
cites work: The Lenstra map on classifying spaces and G-theory of group rings
cites work: Higher G-theory of nilpotent group rings
description: scientific article; zbMATH DE number 4075321