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Finitary Group Cohomology and Group Actions on Spheres

Published online by Cambridge University Press:  12 December 2008

Martin Hamilton
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW, UK ([email protected])
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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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2008