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. / Thesis / Doctor of Philosophy (PhD)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/30097 |
| Date | January 2024 |
| Creators | Mishra, Subhajit |
| Contributors | Hambleton, Ian, Mathematics and Statistics |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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