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We give a new proof of the theorem of Krstic-McCool from the title. Our proofhas potential applications to the study of finiteness properties of othersubgroups of SL_2 resulting from rings of functions on curves.Comment: This is the version published by Algebraic & Geometric Topology on 11  July 200

A geometric proof that SL2(ℤ[t,t−1]) is not finitely presented

A geometric proof that SL₂(ℤ[t,t⁻¹]) is not finitely presented