The purpose of this paper is to present the spatially homogeneous dust
models which do not permit a simply transitive group of motions. I wi
sh to thank my supervising Professor R. K. Sachs for suggesting this p
roblem and for the many suggestions he made during the calculations. I
would also like to thank the other members of my committee, Professor
E. L. Schucking, Professor J. Ehlers, and Professor R. P. Kerr, for t
heir suggestions; and Dr. George Ellis for finding an error in an earl
ier draft of this paper. I would like to thank the National Science Fo
undation for financial support in the form of a Cooperative Fellowship
. I would also like to thank my wife for typing this entire dissertati
on. This work was supported by the Air Force Contract AF 33(615)1029.