Title: The homology of invariant group chains Author: Kevin P. Knudson Address: Department of Mathematics and Statistics Mississippi State University P.O. Drawer MA Mississippi State, MS 39762 Abstract: If Q is a group acting on a group G as a group of automorphisms with finite orbits, denote by C_*(G)^Q the subcomplex of the bar complex C_*(G) consisting of Q-invariant chains. We study the homology of the complex C_*(G)^Q. preprint, July 7, 2003