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The kernel of integral cup product

Part of: Connections with homological algebra and category theory

Published online by Cambridge University Press:  09 April 2009

Jonathan A. Hillman  and
J. H. Rubinstein
Jonathan A. Hillman
Affiliation:
School of Mathematics and Physics, Macquarie University, North Ryde, NSW, 2113, Australia
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Abstract

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We compute the kernel of cup product of 1-dimensional cohomology classes for a group G acting trivially on Z or F2, by means of the naturality of cup product and the 5-term exact sequence of low degree of a suitable LHS spectral sequence. We determine thereby when cup product is injective, and when it is null.

Keywords

cohomologycup productLHS spectral sequence

MSC classification

Secondary: 20J05: Homological methods in group theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 1 , August 1987 , pp. 10 - 15
Copyright
Copyright © Australian Mathematical Society 1987

References

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