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Cohomological periodicity in graph products of combinatorially aspherical groups

Published online by Cambridge University Press:  18 May 2009

K. J. Horadam
K. J. Horadam
Affiliation:
CMR Group, ERL, D.S.T.O. c/o DVR2, A Block, New Wing Victoria Barracks, MelbourneAustralia3004 Department of MathematicsR.M.I.T.G.P.O. Box 2476V, MelbourneAustralia3001
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The notion of a group G having periodic cohomology after k steps was introduced by Talelli in [10], and is equivalent to having the functors Hm(G, —) and Hm+q(G, —) naturally isomorphic for some q ≥ 1 and all m ≥k + 1. It extends to infinite groups the long-understood phenomenon of cohomological periodicity for finite groups (for which k = 0).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 1 , January 1993 , pp. 123 - 129
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

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