======================================= File: mgo5.dvi Author 1: John Maginnis Address: Mathematics Department, Kansas State University, 137 Cardwell Hall, Manhattan, Kansas 66506 Author 2: Silvia Onofrei Address: Mathematics Department, Kansas State University, 137 Cardwell Hall, Manhattan, Kansas 66506 Title: On fixed point sets of distinguished collections for groups of parabolic characteristic Abstract: We determine the nature of the fixed point sets of groups of order p, acting on complexes of distinguished p-subgroups (those p-subgroups containing p-central elements in their centers). The case when $G$ has parabolic characteristic p is analyzed in detail. Preprint, August 2007