Semiconjugacy of quasiperiodic flows and finite index subgroups of multiplier groups

Pages: 60 - 69, Issue Special, August 2005

 Abstract        Full Text (210.5K)              

L. Bakker - Department of Mathematics, Brigham Young University, Provo, UT 84602, United States (email)

Abstract: The multiplier group of a flow describes the types of generalized spacetime symmetries that the flow has. It will be shown that if an F-algebraic quasiperiodic flow is smoothly semiconjugate to flow generated by a constant vector field, then the second flow is F-algebraic quasiperiodic and its multiplier group is a finite index subgroup of the multiplier group of the first flow.

Keywords:  Semiconjugacy, Quasiperiodic Flow, Finite Index Subgroup.
Mathematics Subject Classification:  37C55, 37C80, 20E34, 11R04.

Received: August 2004;      Revised: May 2005;      Published: September 2005.