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The Artin-Rees property and homology
Authors:Kenneth S Brown  Emmanuel Dror
Institution:(1) Cornell University, 14850 Ithaca, N.Y., USA;(2) Hebrew University of Jerusalem, Jerusalem, Israel
Abstract:The Artin-Rees property for a finitely generated nilpotent groupG is used to prove that 
$$H_ *  (G, M) \approx H_ *  (G, \hat M)$$
for any finitely generatedG-moduleM, where 
$$\hat M$$
is the completion ofM with respect to the augmentation ideal ofZG]. Applications to topology are given. Partially supported by NSF Grant GP 33960X.
Keywords:
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