## Algebraic & Geometric Topology

### Homology and finiteness properties of $\mathrm{SL}_2(\mathbb{Z}[t,t^{-1}])$

Kevin P Knudson

#### Abstract

We show that the group $H2(SL2(ℤ[t,t−1]);ℤ)$ is not finitely generated, answering a question mentioned by Bux and Wortman in [Algebr. Geom. Topol. 6 (2006) 839-852].

#### Article information

Source
Algebr. Geom. Topol., Volume 8, Number 4 (2008), 2253-2261.

Dates
Revised: 10 November 2008
Accepted: 13 November 2008
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796933

Digital Object Identifier
doi:10.2140/agt.2008.8.2253

Mathematical Reviews number (MathSciNet)
MR2465740

Zentralblatt MATH identifier
1167.20026

#### Citation

Knudson, Kevin P. Homology and finiteness properties of $\mathrm{SL}_2(\mathbb{Z}[t,t^{-1}])$. Algebr. Geom. Topol. 8 (2008), no. 4, 2253--2261. doi:10.2140/agt.2008.8.2253. https://projecteuclid.org/euclid.agt/1513796933

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