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Monothetic automorphisms of a compact abelian group

  • James R. Brown
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 318)

Keywords

Compact Abelian Group Discrete Topology Torsion Group Ergodic Automorphism Bohr Compacti 
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References

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    H. Anzai and S. Kakutani, Bohr compactifications of a locally compact group I, II. Proc. Jap. Acad. (Tokyo) 19(1943), 467–480, 533–539.Google Scholar
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    J. R. Brown, A Model for ergodic automorphism on groups. Math. Systems Theory (to appear).Google Scholar
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    P. Halmos and H. Samelson, On monothetic groups. Proc. Nat. Acad. Sci. U.S. 28(1942), 254–258.MathSciNetzbMATHCrossRefGoogle Scholar
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    I. Kaplansky, Infinite Abelian Groups, Univ. of Michigan Press, 1954.Google Scholar
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    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.Google Scholar
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    D. Van Dantzig, Über topologisch homogene Kontinua, Fund. Math. 15(1930), 102–125.zbMATHGoogle Scholar
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    D. Van Dantzig, Zur topologischen Algebra, Math. Annalen 107(1933), 591.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • James R. Brown
    • 1
  1. 1.Department of MathematicsOregon State UniversityCorvallis

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