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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Vanishing homology over nilpotent groups

Author: William G. Dwyer
Journal: Proc. Amer. Math. Soc. 49 (1975), 8-12
MSC: Primary 18H10; Secondary 55H20
MathSciNet review: 0374242
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Abstract: Let $ \pi $ be a nilpotent group and let $ M$ be a $ \pi $-module. Under certain finiteness assumptions we prove that the twisted homology groups $ {H_i}(\pi ,M)$ vanish for all positive $ i$ whenever $ {H_0}(\pi ,M) = 0$.

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Keywords: Nilpotent group, twisted group homology
Article copyright: © Copyright 1975 American Mathematical Society