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The kernel of the cup product

Published online by Cambridge University Press:  17 April 2009

Jonathan A. Hillman
Jonathan A. Hillman
Affiliation:
Department of Mathematics, Faculty of Science, Australian National University, G.P.O. Box 4, Canberra, A.C.T. 2600., Australia.
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Abstract

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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

References

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