L-theory and graphs of free abelian groups
type: Item
instance of: scholarly article
title: L-theory and graphs of free abelian groups
zbMATH Open document ID: 0632.57019
DOI: 10.1016/0022-4049(87)90053-3
published in: Journal of Pure and Applied Algebra
publication date: 1987-01-01T00:00:00Z
review text: A slight extension of \textit{S. E. Cappell}'s results on Mayer-Vietoris sequences in L-theory [Invent. Math. 33, 69-170 (1976; Zbl 0348.57017)] is used to prove that the unitary Whitehead groups \(S_ n(K(\pi,1))\) vanish if \(\pi\) is the fundamental group of a locally finite graph of finitely generated free abelian groups.
Mathematics Subject Classification ID: 57R67
Mathematics Subject Classification ID: 18F25
Mathematics Subject Classification ID: 57Q10
zbMATH DE Number: 4028434
zbMATH Keywords: Mayer-Vietoris sequences in L-theory
zbMATH Keywords: unitary Whitehead groups
zbMATH Keywords: fundamental group of a locally finite graph of finitely generated free abelian groups
author: Christopher W. Stark
MaRDI profile type: Publication
full work available at URL: 0022-4049(87)90053-3
OpenAlex ID: W2053410096
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description: scientific article; zbMATH DE number 4028434