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

2021/11/29 by Csikós, Balázs, Riera, Ignasi Mundet i, Pyber, László +1 · 1 citation
#157S17 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2111.14450

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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• Large and iterated finite group actions on manifolds admitting non-zero degree maps to nilmanifolds

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