# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Ignasi Mundet i Riera

# metadata.dc.description.abstract[].value
[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.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Jordi Daura Serrano, 2019

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques