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The kernel of the cup product
Published online by Cambridge University Press: 17 April 2009
Abstract
We relate the kernel of the cup product of 1-dimensional cohomology classes for a group G acting trivially on a field R to Hom(G2/G3,R), the space of group homomorphisms of the second stage of the lower central series for G into R, by means of explicit computations with cocycles. The precise result depends on whether the characteristic of the field is 0, an odd prime or 2.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 32 , Issue 2 , October 1985 , pp. 261 - 274
- Copyright
- Copyright © Australian Mathematical Society 1985
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