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Finitary Group Cohomology and Group Actions on Spheres

Published online by Cambridge University Press:  12 December 2008

Martin Hamilton
Martin Hamilton
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW, UK (m.hamilton@maths.gla.ac.uk)
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Abstract

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We show that if G is an infinitely generated locally (polycyclic-by-finite) group with cohomology almost-everywhere finitary, then every finite subgroup of G acts freely and orthogonally on some sphere.

Keywords

cohomology of groupsfinitary functorsgroup actions on spheres
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 3 , October 2008 , pp. 651 - 655
Copyright
Copyright © Edinburgh Mathematical Society 2008