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Projective resolutions for graph products

Published online by Cambridge University Press:  20 January 2009

Daniel E. Cohen
Daniel E. Cohen
Affiliation:
School of Mathematical SciencesQueen Mary and Westfield CollegeMile End RoadLondon E1 4NSEnglandE-mail address: D.E.Cohen@qmw.ac.uk
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Abstract

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Let Γ be a finite graph together with a group Gv at each vertex v. The graph productG(Γ) is obtained from the free product of all Gv by factoring out by the normal subgroup generated by for all adjacent v, w.

In this note we construct a projective resolution for G(Γ) given projective resolutions for each Gv, and obtain some applications.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 185 - 188
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

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