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

Published 29 Nov 2021 in math.GT and math.AT | (2111.14450v1)

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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