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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/135717
The Mann-Su theorem
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[en] In this text, we give the necessary tools to prove and understand the Mann-Su theorem. In the context of transformation groups theory, the Mann-Su theorem gives a restriction on which finite groups can act effectively on a manifold. Particularly, we will find an upper bound $N$ that only depends on the manifold $M$ such that groups of the form $(\mathbb{Z}_p )^{r}$ can not act effectively on $M$ if $r > N$. Restricting ourselves to the case of smooth manifolds and actions, we will take a slightly different approach compared to the original paper where L.N Mann and J.C. Su proved the theorem.
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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Ignasi Mundet i Riera
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DAURA SERRANO, Jordi. The Mann-Su theorem. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/135717