On the number of stabilizer subgroups in a finite group acting on a manifold

Abstract

If a finite p-group G acts continuously on a compact topological manifold M then, with some bound C depending on M alone, G has a subgroup H of index at most C such that the H-action on M has at most C stabilizer subgroups. This result plays a crucial role in the proof of a deep conjecture of Ghys.

References in corpus (1)

• Diffeomorphism Groups of Compact 4-manifolds are not always Jordan

Cited by in corpus (1)

• Actions of large finite groups on aspherical manifolds