Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-13T00:48:51.028Z Has data issue: false hasContentIssue false
  • English
  • Français

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 ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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