Semiconjugacy of quasiperiodic flows and finite index subgroups of multiplier groups

L. Bakker

doi:10.3934/proc.2005.2005.60

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2005, Volume 2005: 60-69. Doi: 10.3934/proc.2005.2005.60 open access

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Semiconjugacy of quasiperiodic flows and finite index subgroups of multiplier groups

L. Bakker^1,

1.
Department of Mathematics, Brigham Young University, Provo, UT 84602

Received: July 31, 2004

Revised: April 30, 2005

Published: August 2005

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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.

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

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