Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/135717
Title: | The Mann-Su theorem |
Author: | Daura Serrano, Jordi |
Director/Tutor: | Mundet i Riera, Ignasi |
Keywords: | Grups finits Treballs de fi de grau Grups de transformacions Grups de Lie Finite groups Bachelor's theses Transformation groups Lie groups |
Issue Date: | 18-Jan-2019 |
Abstract: | [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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Ignasi Mundet i Riera |
URI: | http://hdl.handle.net/2445/135717 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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135717.pdf | Memòria | 366.33 kB | Adobe PDF | View/Open |
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