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On a homoclinic group that is not isomorphic to the character group

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Abstract

We exhibit an example of Hendrik Lenstra of an expansive automorphism on a compact connected abelian groupK such that its homoclinic group is not isomorphic to the Pontryagin dual\(\hat K\).

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Authors and Affiliations

  1. Department of Mathematics, University of North Texas, P. O. Box 311430, 76203-1430, Denton, Texas, USA

    Alex Clark

  2. Faculty of Electrical Engineering, Mathematics and Information Technology, Delft University, P.O. Box 5031, 2600 GA, Delft, Netherlands

    Robbert Fokkink

Authors
  1. Alex Clark
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  2. Robbert Fokkink
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Correspondence to Alex Clark.

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This work was supported by an NWO visitor's grant

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Clark, A., Fokkink, R. On a homoclinic group that is not isomorphic to the character group. Qual. Th. Dyn. Syst 5, 361–365 (2004). https://doi.org/10.1007/BF02972686

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  • DOI: https://doi.org/10.1007/BF02972686

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