Date of Award
Fall 2011
Degree Type
Thesis
Degree Name
Master of Science (MSc)
Department
Mathematics and Statistics
Supervisor
Ian Hambleton
Co-Supervisor
Andrew J. Nicas, McKenzie Wang
Language
English
Committee Member
Andrew J. Nicas, McKenzie Wang
Abstract
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.
Recommended Citation
Breton, Sacha, "Finite Group Actions on the Four-Dimensional Sphere" (2011). Open Access Dissertations and Theses. Paper 6097.
http://digitalcommons.mcmaster.ca/opendissertations/6097
McMaster University Library