Minimal group actions on compact spaces with a finite stabilizer point have residual stabilizers conjugate to a single almost normal subgroup, and for residually finite groups these actions are almost finite-to-one factors of essentially free actions.
Ceccherini-Silberstein and M
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Group actions with almost normal stabilizers
Minimal group actions on compact spaces with a finite stabilizer point have residual stabilizers conjugate to a single almost normal subgroup, and for residually finite groups these actions are almost finite-to-one factors of essentially free actions.