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].
Knudson, Kevin P  1
@article{10_2140_agt_2008_8_2253,
author = {Knudson, Kevin P},
title = {Homology and finiteness properties of {SL2(\ensuremath{\mathbb{Z}}[t,t\ensuremath{-}1])}},
journal = {Algebraic and Geometric Topology},
pages = {2253--2261},
year = {2008},
volume = {8},
number = {4},
doi = {10.2140/agt.2008.8.2253},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.2253/}
}
Knudson, Kevin P. Homology and finiteness properties of SL2(ℤ[t,t−1]). Algebraic and Geometric Topology, Tome 8 (2008) no. 4, pp. 2253-2261. doi: 10.2140/agt.2008.8.2253
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