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Recent Advances in Topological Dynamics pp 59–77Cite as

Monothetic automorphisms of a compact abelian group

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 318))

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References

  1. H. Anzai and S. Kakutani, Bohr compactifications of a locally compact group I, II. Proc. Jap. Acad. (Tokyo) 19(1943), 467–480, 533–539.

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  2. J. R. Brown, A Model for ergodic automorphism on groups. Math. Systems Theory (to appear).

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  3. P. Halmos and H. Samelson, On monothetic groups. Proc. Nat. Acad. Sci. U.S. 28(1942), 254–258.

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  4. I. Kaplansky, Infinite Abelian Groups, Univ. of Michigan Press, 1954.

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  5. J. D. Kerrick, Group automorphisms of the n-torus: a representation theorem and some applications. Ph.D. Dissertation, Department of Mathematics, Oregon State University, 1971.

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  6. D. Van Dantzig, Über topologisch homogene Kontinua, Fund. Math. 15(1930), 102–125.

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  7. D. Van Dantzig, Zur topologischen Algebra, Math. Annalen 107(1933), 591.

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Authors and Affiliations

  1. Department of Mathematics, Oregon State University, 97331, Corvallis, Oregon

    James R. Brown

Authors
  1. James R. Brown
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Anatole Beck

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© 1973 Springer-Verlag

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Brown, J.R. (1973). Monothetic automorphisms of a compact abelian group. In: Beck, A. (eds) Recent Advances in Topological Dynamics. Lecture Notes in Mathematics, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061723

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  • DOI: https://doi.org/10.1007/BFb0061723

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06187-8

  • Online ISBN: 978-3-540-38414-4

  • eBook Packages: Springer Book Archive

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