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Jul 27, 2010 at 22:39 comment added HJRW Indeed - hence the fact that they are able to distinguish finite presentability from the more homological property $FP_2$.
Jul 27, 2010 at 21:23 comment added Victor Protsak The beauty of Bestvina-Brady approach via Morse theory is that there is no need to mess around with spectral sequences: you can just see infinitely many relations! (See Geoghegan's GTM 243 book for a recent exposition.)
Jul 27, 2010 at 20:19 vote accept Mustafa Gokhan Benli
Jul 27, 2010 at 19:57 comment added HJRW I see that Victor has already mentioned my second example in a comment.
Jul 27, 2010 at 19:56 history edited HJRW CC BY-SA 2.5
Added references and a new example
Jul 27, 2010 at 17:02 history answered HJRW CC BY-SA 2.5