On a homotopy relation between the 2-local geometry and the Bouc complex   for the sporadic group Co3
  We study the homotopy relation between the standard 2-local geometry and the Bouc complex for the sporadic group Co3. We also give a result concerning the relative projectivity of the reduced Lefschetz module associated to the aformentioned 2-local geometry. 
John Maginnis, Silvia Onofrei