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Actions of finite p-groups on homology manifolds

Published online by Cambridge University Press:  26 November 2001

BERNHARD HANKE
BERNHARD HANKE
Affiliation:
Ludwig-Maximilians-Universität, Theresienstraße 39, 80333 München, Germany. e-mail: hanke@rz.mathematik.uni-muenchen.de
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Abstract

Let a cyclic group of odd prime order p act on a ℤ(p)-Poincaré duality space X. We prove a relation between the Witt classes associated to the [ ]p-cohomology rings of the fixed point set of this action and of X. This is applied to show a similar result for actions of finite p-groups on ℤ(p)-homology manifolds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 131 , Issue 3 , November 2001 , pp. 473 - 486
Copyright
© 2001 Cambridge Philosophical Society

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