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http://hdl.handle.net/11375/30097
Title: | Pseudofree Finite Group Actions on 4-Manifolds |
Authors: | Mishra, Subhajit |
Advisor: | Hambleton, Ian |
Department: | Mathematics and Statistics |
Keywords: | Mathematics;Algebraic Topology;Group Actions;Manifolds |
Publication Date: | 2024 |
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. |
URI: | http://hdl.handle.net/11375/30097 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Mishra_Subhajit_202408_PhD.pdf | 1.46 MB | Adobe PDF | View/Open |
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