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2006 A geometric proof that $\mathrm{SL}_2(\mathbb{Z}[t,t^{-1}])$ is not finitely presented
Kai-Uwe Bux, Kevin Wortman
Algebr. Geom. Topol. 6(2): 839-852 (2006). DOI: 10.2140/agt.2006.6.839

Abstract

We give a new proof of the theorem of Krstić–McCool from the title. Our proof has potential applications to the study of finiteness properties of other subgroups of SL2 resulting from rings of functions on curves.

Citation

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Kai-Uwe Bux. Kevin Wortman. "A geometric proof that $\mathrm{SL}_2(\mathbb{Z}[t,t^{-1}])$ is not finitely presented." Algebr. Geom. Topol. 6 (2) 839 - 852, 2006. https://doi.org/10.2140/agt.2006.6.839

Information

Received: 15 December 2004; Revised: 11 April 2006; Accepted: 28 October 2005; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1128.20037
MathSciNet: MR2240917
Digital Object Identifier: 10.2140/agt.2006.6.839

Subjects:
Primary: 20F05
Secondary: 20F65

Keywords: finiteness properties , geometric group theory , trees

Rights: Copyright © 2006 Mathematical Sciences Publishers

Vol.6 • No. 2 • 2006
MSP
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