Author 1: John Maginnis Address: Mathematics Department, Kansas State University, 137 Cardwell Hall, Manhattan, Kansas 66506 Author 2: Silvia Onofrei Address: Mathematics Department, University of California Riverside, 226 Surge Hall, Riverside, California 92521 Title: On a homotopy equivalence between the 2-local geometry and the Bouc complex for the sporadic group McL Abstract: We study the homotopy relation between the standard 2-local geometry and the Bouc complex for the sporadic finite simple group McL. Preprint, October 21, 2005