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Homology and finiteness
properties of $\mathrm{SL}_2(\mathbb{Z}[t,t^{-1}])$
Kevin P Knudson |
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Algebraic & Geometric Topology 8 (2008) 2253–2261
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Abstract |
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We show that the group is not finitely generated, answering a question mentioned by Bux and Wortman in [Algebr. Geom. Topol. 6 (2006) 839-852]. |
Keywords
finite presentability, property $\mathrm{FP}_2$, linear
groups over polynomial rings
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Mathematical Subject Classification 2000
Primary: 20F05
Secondary: 20F65
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References |
Publication
Received: 3 September 2008
Revised: 10 November 2008
Accepted: 13 November 2008
Published: 11 December 2008
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Authors |
| Kevin P Knudson | |
| Department of Mathematics &
Statistics Mississippi State University Mississippi State, MS 39762 USA |
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| http://www2.msstate.edu/~kk116/ | |
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