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Actions of large finite groups on manifolds

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In this paper we survey some recent results on actions of finite groups on topological manifolds. Given an action of a finite group $G$ on a manifold $X$, these results provide information on the restriction of the action to a subgroup of $G$ of index bounded above by a number depending only on $X$. Some of these results refer to the algebraic structure of the group, such as being abelian, or nilpotent, or admitting a generating subset of controlled size; other results refer to the geometry of the action, e.g. to the existence of fixed points, to the collection of stabilizer subgroups, or to the action on cohomology.

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MUNDET I RIERA, Ignasi. Actions of large finite groups on manifolds. _International Journal of Mathematics_. 2024. Vol. 35, núm. 9. [consulta: 9 de gener de 2026]. ISSN: 0129-167X. [Disponible a: https://hdl.handle.net/2445/217220]

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