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We prove that the basic intersection cohomology $ {IH}^{^{*}}_{_{\bar{p}}}{(M/\mathcal{F})}, $ where $\mathcal{F}$ is the singularfoliation determined by an isometric action of a Lie group $G$ on the compactmanifold $M$, is finite dimensional.

Finitness of the basic intersection cohomology of a Killing foliation