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Proceedings of the American Mathematical Society

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

 

 

Note on the homology of a fiber product of groups


Author: G. S. Rinehart
Journal: Proc. Amer. Math. Soc. 24 (1970), 548-552
MSC: Primary 18.20
DOI: https://doi.org/10.1090/S0002-9939-1970-0257184-9
MathSciNet review: 0257184
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Abstract: Spectral sequences are derived for the homology and cohomology of a fiber product of groups with coefficients in a tensor product module. These generalize the Hochschild-Serre spectral sequences, and, in the case of a full product of groups, give Künneth formulas. The latter are used to make easy explicit computations of the homology and cohomology of an arbitrary finitely generated


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DOI: https://doi.org/10.1090/S0002-9939-1970-0257184-9
Keywords: Homology of groups, cohomology of groups, fiber product of groups, Hochschild-Serre spectral sequence, Künneth formula, homology of abelian groups, cohomology of abelian groups, universal coefficient theorems
Article copyright: © Copyright 1970 American Mathematical Society