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Elementary types of automorphisms of linearly ordered sets—A survey

Partially Ordered Algebraic Structures

Part of the Lecture Notes in Mathematics book series (LNM,volume 848)

Keywords

  • Automorphism Group
  • Group Language
  • Countable Subset
  • Lattice Language
  • Homogeneous Chain

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References

  1. A. M. W. Glass, Ordered Permutation Groups, Bowling Green State University, 1976.1

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  2. A. M. W. Glass, Yuri Gurevich and W. Charles Holland, Doubly homogeneous chains, to appear in the Proceedings of the University of Connecticut Logic Year, 1979/80 to be published by Springer-Verlag.

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  3. A. M. W. Glass, Yuri Gurevich, W., Charles Holland and Saharon Shelah, "Rigid homogeneous chains", Mathematical Proceedings of the Cambridge Philosophical Soc. (to appear).

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  4. A. M. W. Glass and K. R. Pierce, "Existentially complete lattice-ordered groups", Israel J. Maths (to appear).

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  5. Yuri Gurevich, "Hereditary undecidability of the theory of lattice-ordered groups", Algebra and Logic, 6(1967), 45–62 (in Russian).

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  6. Yuri Gurevich and W. Charles Holland, "Recognizing the real line", Trans. Amer. Maths Soc. (to appear).

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  7. Michèle Jambu-Giraudet, "Théorie des modèles des groups d'automorphismes d'ensembles tótalement ordonnés", Thèse 3 ème Cycle, Univ. Paris VII, 1979.

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  8. Michèle Jambu-Giraudet, "Bi-interpretable groups and lattices", Trans. Amer. Maths. Soc. (to appear).

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  9. Ralph N. McKenzie, "On elementary types of symmetric groups", Alg. Universalis, 1(1971), 13–20.

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  10. A. G. Pinus, "On elementary definability of symmetric groups". Alg. Universalis, 3(1973), 59–66.

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  11. Saharon Shelah, "First order theory of permutation groups", Israel J. Maths. 14(1973), 149–162; 15(1973), 437–441.

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© 1981 Springer-Verlag

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Glass, A.M.W. (1981). Elementary types of automorphisms of linearly ordered sets—A survey. In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090568

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  • DOI: https://doi.org/10.1007/BFb0090568

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10573-2

  • Online ISBN: 978-3-540-38549-3

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