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Finite Group Actions on the Four-Dimensional Sphere

<p>Smith theory provides powerful tools for understanding the geometry of singular sets of group actions on spheres. In this thesis, tools from Smith theory and spectral sequences are brought together to study the singular sets of elementary abelian groups acting locally linearly on S4. It is shown that the singular sets of such actions are homeomorphic to the singular sets of linear actions. A short review of the literature on group actions on S4 is included.</p> / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/11102
Date10 1900
CreatorsBreton, Sacha
ContributorsHambleton, Ian, Andrew J. Nicas, McKenzie Wang, Andrew J. Nicas, McKenzie Wang, Mathematics and Statistics
Source SetsMcMaster University
Detected LanguageEnglish
Typethesis

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