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Homology and finiteness properties of SL2(Z[t,t−1])

Kevin P Knudson

Algebraic & Geometric Topology 8 (2008) 2253–2261

DOI: 10.2140/agt.2008.8.2253
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].

Keywords

finite presentability, property FP2, linear groups over polynomial rings
Mathematical Subject Classification

Primary: 20F05

Secondary: 20F65
References
Publication

Received: 3 September 2008
Revised: 10 November 2008
Accepted: 13 November 2008
Published: 11 December 2008
Authors
Kevin P Knudson
Department of Mathematics & Statistics
Mississippi State University
Mississippi State, MS 39762
USA
http://www2.msstate.edu/~kk116/