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http://hdl.handle.net/11375/11102| Title: | Finite Group Actions on the Four-Dimensional Sphere |
| Authors: | Breton, Sacha |
| Advisor: | Hambleton, Ian Andrew J. Nicas, McKenzie Wang Andrew J. Nicas, McKenzie Wang |
| Department: | Mathematics and Statistics |
| Keywords: | group actions;four spheres;smooth manifolds;Geometry and Topology;Geometry and Topology |
| Publication Date: | Oct-2011 |
| 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> |
| URI: | http://hdl.handle.net/11375/11102 |
| Identifier: | opendissertations/6097 7119 2207180 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| fulltext.pdf | 268.35 kB | Adobe PDF | View/Open |
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