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The cohomology ring of a combinatorially aspherical group

Part of: Special aspects of infinite or finite groups Connections with homological algebra and category theory

Published online by Cambridge University Press:  09 April 2009

K. J. Horadam
K. J. Horadam
Affiliation:
Department of Mathematics, Royal Melbourne Institute of TechnologyMelbourne, Victoria 3001, Australia
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Abstract

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A presentation is given for the cohomology ring of a finitely presented combinatorially aspherical group with trivial coefficients in an integral domain. Cohomological periodicity is characterized in terms of the cup product.

MSC classification

Secondary: 20J05: Homological methods in group theory 20F05: Generators, relations, and presentations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 3 , December 1989 , pp. 453 - 457
Copyright
Copyright © Australian Mathematical Society 1989

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