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

Balázs Csikós; Ignasi Mundet i Riera; László Pyber; Endre Szabó

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arXiv · 2111.14450

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

Balázs Csikós·Ignasi Mundet i Riera·László Pyber·Endre Szabó

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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.

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Balázs Csikós, Ignasi Mundet i Riera, László Pyber, Endre Szabó. 2021-11-29. On the number of stabilizer subgroups in a finite group acting on a manifold. https://arxiv.org/abs/2111.14450

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