
doi: 10.1112/blms/bdp063
We conjecture that a group G admits a finite-dimensional classifying space for proper actions if and only if the Gorenstein projective dimension of G is finite. We verify the one-dimensional case of this conjecture. Some evidence are given for the hypothesis that the Gorenstein projective ℤG-modules are precisely Benson's class of cofibrant modules. © 2009 London Mathematical Society.
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