Mundet i Riera, Ignasi2024-12-202025-04-192024-04-200129-167Xhttps://hdl.handle.net/2445/217220In 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.32 p.application/pdfeng(c) World Scientific Publishing, 2024Varietats (Matemàtica)Grups de transformacionsManifolds (Mathematics)Transformation groupsinfo:eu-repo/semantics/article7518942024-12-20info:eu-repo/semantics/openAccess