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

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arxiv 2111.14450 v1 pith:MJKLGKLP submitted 2021-11-29 math.GT math.AT

Balázs Csikós , Ignasi Mundet i Riera , László Pyber , Endre Szabó This is my paper · ORCID
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keywords finitemanifoldstabilizersubgroupsactingactsalonebound
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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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  1. Large and iterated finite group actions on manifolds admitting non-zero degree maps to nilmanifolds

    math.GT 2025-06 conditional novelty 7.0 of 10

    Manifolds with non-zero degree maps to nilmanifolds have controlled finite group actions, and a new iterated symmetry invariant forces rational cohomology rigidity over two-step nilmanifolds.

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