dc.contributor.author Ranicki, Andrew dc.contributor.author Pajitnov, Andrei dc.coverage.spatial 36 en dc.date.accessioned 2003-12-01T15:19:50Z dc.date.available 2003-12-01T15:19:50Z dc.date.issued 2000 dc.identifier.citation K-Theory 21 (2000) 325-365 en dc.identifier.uri http://hdl.handle.net/1842/252 dc.description.abstract The Bass-Heller-Swan-Farrell-Hsiang-Siebenmann decomposition of the Whitehead group $K_1(A_{\rho}[z,z^{-1}])$ of a twisted Laurent polynomial extension $A_{\rho}[z,z^{-1}]$ of a ring $A$ is generalized to a decomposition of the Whitehead group $K_1(A_{\rho}((z)))$ of a twisted Novikov ring of power series $A_{\rho}((z))=A_{\rho}[[z]][z^{-1}]$. The decomposition involves a summand $W_1(A,\rho)$ which is an abelian quotient of the multiplicative group $W(A,\rho)$ of Witt vectors $1+a_1z+a_2z^2+... \in A_{\rho}[[z]]$. An example is constructed to show that in general the natural surjection $W(A,\rho)^{ab} \to W_1(A,\rho)$ is not an isomorphism. en dc.format.extent 286986 bytes dc.format.mimetype application/pdf dc.language.iso en dc.publisher http://arxiv.org/pdf/math.AT/0012031 en dc.title THE WHITEHEAD GROUP OF THE NOVIKOV RING en dc.type Preprint en
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