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Semiconjugacy of quasiperiodic flows and finite index subgroups of multiplier groups

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  • 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.
    Mathematics Subject Classification: 37C55, 37C80, 20E34, 11R04.


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