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Groups which satisfy a weak form of Poincaré duality

Published online by Cambridge University Press:  20 January 2009

J. E. Roberts
J. E. Roberts
Affiliation:
School of Mathematical SciencesQueen Mary and Westfield CollegeMile End RoadLondon E1 4NS
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Abstract

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Our main result is that a “restricted Poincaré duality” property with respect to finite dimensional coefficient modules over a field holds for a certain class of groups which includes all soluble groups of finite Hirsch length. This relies on a generalisation to the given class of a module construction by Stammbach; an extension of his result on homological dimension to these groups is given. We also generalise the well-known result that torsion-free soluble groups of finite rank are countable.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 3 , October 1991 , pp. 463 - 486
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

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