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Kropholler and Mislin conjectured that groups acting admissibly on afinite-dimensional G-CW-complex with finite stabilisers admit afinite-dimensional model for E_FG, the classifying space for proper actions.This conjecture is known to hold for groups with bounded torsion. In this notewe consider a large class of groups U containing the above and many knownexamples with unbounded torsion. We show that the conjecture holds for a largesubclass of U.

Some H1F-groups with unbounded torsion and a conjecture of Kropholler and Mislin