Titlebook: Dynamical Systems of Algebraic Origin; Klaus Schmidt Book 1995 Birkhäuser Verlag 1995 Group Theory.Lie groups

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Periodic points,iodic points for a ℤ.-action . by automorphisms of compact group . satisfying the d.c.c. We begin with two examples which show that—if . is non-abelian—the d.c.c. does not necessarily imply that the set of .-periodic points is dense.

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Expansive automorphisms of compact groups,culty. Only when . = 1 can one ‘almost’ re-build the action . from the quotient actions . (Corollary 9.4), due to the fact that ℚ ⊗. ℜ. = ℚ. is a principal ideal domain. The main tool in this reconstruction is the following Lemma 9.1.

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Dynamical Systems of Algebraic Origin978-3-0348-9236-0Series ISSN 0743-1643 Series E-ISSN 2296-505X

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https://doi.org/10.1007/978-3-0348-9236-0Group Theory; Lie groups