A geometric approach to the lower algebraic K-theory of Fuchsian groups
type: Item
instance of: scholarly article
title: A geometric approach to the lower algebraic K-theory of Fuchsian groups
zbMATH Open document ID: 1006.19001
DOI: 10.1016/S0166-8641(01)00068-2
author: Kimberly Pearson
author: Ethan Berkove
author: Daniel Juan Pineda
published in: Topology and its Applications
publication date: 2002-06-24T00:00:00Z
review text: Let \(\Gamma\) be a non-elementary finitely generated Fuchsian group and \({\mathbb Z}\Gamma\) its integral group ring. By using a geometric approach, the authors of this paper give explicit formulas of the lower \(K\)-groups \(K_0 ({\mathbb Z}\Gamma)\) and \(K_1 ({\mathbb Z}\Gamma)\) and the negative \(K\)-group \(K_{-1} ({\mathbb Z}\Gamma)\).
Mathematics Subject Classification ID: 19A31
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 19D35
Mathematics Subject Classification ID: 19B28
zbMATH DE Number: 1758564
zbMATH Keywords: \(K\)-theory
zbMATH Keywords: Fuchsian groups
zbMATH Keywords: Kleinian groups
zbMATH Keywords: Whitehead groups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1758564