Several years ago I saw a paper where somebody proved that a recursively presented group with 2-dimensional aspherical presentation complex embeds into a finitely presented group with (possibly infinite) finite dimensional $K(.,1)$. I cannot find the paper now (I need to refer to it). I thought that the author was Steve Gersten, but he does not remember proving such a result. Anyway, the question is: What was the paper?
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Higman: Subgroups of finitely presented groups, Proc. Royal Soc. Ser. A, vol. 262 (1961), 455-475. The result is that any recursively presented group can be recursively embedded in a fixed f.p. group. – Torsten Ekedahl Mar 15 '11 at 05:30
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Yes, I forgot "aspherical", of course. – Mar 15 '11 at 09:57