Finite Group Actions on the Four-Dimensional Sphere

Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/11102

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DC Field	Value	Language
dc.contributor.advisor	Hambleton, Ian	en_US
dc.contributor.advisor	Andrew J. Nicas, McKenzie Wang	en_US
dc.contributor.advisor	Andrew J. Nicas, McKenzie Wang	en_US
dc.contributor.author	Breton, Sacha	en_US
dc.date.accessioned	2014-06-18T16:53:35Z	-
dc.date.available	2014-06-18T16:53:35Z	-
dc.date.created	2011-08-31	en_US
dc.date.issued	2011-10	en_US
dc.identifier.other	opendissertations/6097	en_US
dc.identifier.other	7119	en_US
dc.identifier.other	2207180	en_US
dc.identifier.uri	http://hdl.handle.net/11375/11102	-
dc.description.abstract	<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>	en_US
dc.subject	group actions	en_US
dc.subject	four spheres	en_US
dc.subject	smooth manifolds	en_US
dc.subject	Geometry and Topology	en_US
dc.subject	Geometry and Topology	en_US
dc.title	Finite Group Actions on the Four-Dimensional Sphere	en_US
dc.type	thesis	en_US
dc.contributor.department	Mathematics and Statistics	en_US
dc.description.degree	Master of Science (MSc)	en_US
Appears in Collections:	Open Access Dissertations and Theses

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