Vanishing homology over nilpotent groups-Reference-Cited by-同舟云学术

Vanishing homology over nilpotent groups

Published:1975 Issue:1 Volume:49 Page:8-12
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dwyer William G.

Abstract

Let π \pi be a nilpotent group and let M M be a π \pi -module. Under certain finiteness assumptions we prove that the twisted homology groups H i ( π , M ) {H_i}(\pi ,M) vanish for all positive i i whenever H 0 ( π , M ) = 0 {H_0}(\pi ,M) = 0 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-049-01/S0002-9939-1975-0374242-3/S0002-9939-1975-0374242-3.pdf

Reference6 articles.

1. Lecture Notes in Mathematics, Vol. 304;Bousfield, A. K.,1972

2. W. Dwyer, Generalized convergence of the Eilenberg-Moore spectral sequence (in preparation).

3. E. Dror, Homology circles (in preparation).

4. S. Mac Lane, Homology, Die Grundlehren der math. Wissenschaften, Band 114, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #122.

5. On modules of trivial cohomology over a finite group;Nakayama, Tadasi;Illinois J. Math.,1957

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