Electronic Journal of Differential Equations, Vol. 2004(2004), No. 39, pp. 1-14. Title: Structure of group invariants of a quasiperiodic flow Author: Lennard F. Bakker (Brigham Young Univ., Provo, UT, USA) Abstract: It is shown that the multiplier representation of the generalized symmetry group of a quasiperiodic flow induces a semidirect product structure on certain group invariants (including the generalized symmetry group) of the flow's smooth conjugacy class. Submitted July 02, 2002. Published March 22, 2004. Math Subject Classifications: 37C55, 37C80, 20E34, 11R04. Key Words: Generalized symmetry; quasiperiodic flow; semidirect product.