Higher G-theory of nilpotent group rings
type: Item
instance of: scholarly article
title: Higher G-theory of nilpotent group rings
zbMATH Open document ID: 0649.16020
DOI: 10.1016/0021-8693(88)90228-1
author: David L. Webb
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: Let \(\pi\) be a finite nilpotent group whose Sylow 2-subgroup has no subquotient isomorphic to the quaternion group of order 8, and let R be a left Noetherian ring. A formula is given here for the higher Grothendieck groups of \(R\pi\), analogous to that for \(G_ 0(R\pi)\) given by \textit{H. Lenstra} [J. Pure Appl. Algebra 20, 173-193 (1981; Zbl 0467.16016)]. According to a note added in proof, a similar result is proved by \textit{I. Hambleton}, \textit{L. Taylor} and \textit{E. B. Williams} [J. Algebra 116, No.2, 466-470 (1988)].
Mathematics Subject Classification ID: 16E20
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 20C10
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 4059618
zbMATH Keywords: group ring
zbMATH Keywords: finite nilpotent group
zbMATH Keywords: left Noetherian ring
zbMATH Keywords: higher Grothendieck groups
reviewed by: Kenneth A. Brown
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90228-1
OpenAlex ID: W1986468539
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description: scientific article; zbMATH DE number 4059618