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Cup products and group extensions
Published online by Cambridge University Press: 09 April 2009
Abstract
Let G be a finitely generated group and let R be a commutative ring, regarded as a G-module with G acting trivially. We shall determine when the cup product of two elements of H1(G, R) is zero. Our method will use the interpretation of H2(G, R) as extensions of G by R. This will give an alternative demonstration of results of Hillman and Würfel.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 50 , Issue 1 , February 1991 , pp. 108 - 115
- Copyright
- Copyright © Australian Mathematical Society 1991
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