Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/30097
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Hambleton, Ian | - |
dc.contributor.author | Mishra, Subhajit | - |
dc.date.accessioned | 2024-08-27T22:49:07Z | - |
dc.date.available | 2024-08-27T22:49:07Z | - |
dc.date.issued | 2024 | - |
dc.identifier.uri | http://hdl.handle.net/11375/30097 | - |
dc.description.abstract | We prove several theorems about the pseudofree, locally linear and homologically trivial action of finite groups πΊ on closed, connected, oriented 4-manifolds π with non-zero Euler characteristic. In this setting, the rankπ (πΊ) β€ 1, for π β₯ 5 prime and rank(πΊ) β€ 2, for π = 2, 3. We combine these results into two main theorems: Theorem A and Theorem B in Chapter 1. These results strengthen the work done by Edmonds, and Hambleton and Pamuk. We remark that for low second betti-numbers ( <= 2) there are other examples of finite groups which can act in the above way. | en_US |
dc.language.iso | en | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Algebraic Topology | en_US |
dc.subject | Group Actions | en_US |
dc.subject | Manifolds | en_US |
dc.title | Pseudofree Finite Group Actions on 4-Manifolds | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Mathematics and Statistics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Mishra_Subhajit_202408_PhD.pdf | 1.46 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.