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Transitive lattice-ordered permutation groups

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References

  1. Birkhoff, G.: Lattice theory. Amer. Math. Soc. Providence, 1948.

    Google Scholar 

  2. Clifford, A. H.: A non-commutative ordinally simple linearly ordered group. Proc. Am. Math. Soc.2, 902–903 (1952).

    Google Scholar 

  3. Fuchs, L.: Partially ordered algebraic systems. Reading: Addison-Wesley 1963.

    Google Scholar 

  4. Holland, C.: The lattice-ordered group of automorphisms of an ordered set. Michigan Math. J.10, 399–408 (1963).

    Google Scholar 

  5. Holland, C. A class of simple lattice-ordered groups (to appear in Proc. Am. Math. Soc.)

  6. Kurosh, A. G.: The theory of groups, Vol. 1. Chelsea, New York, 1960.

    Google Scholar 

  7. Lloyd, J. T.: Lattice ordered groups and o-permutation groups. Dissertation, Tulane University, 1964.

  8. Ohkuma, T.: Sur quelques ensembles ordonnés linéairment. Fund. Math.43, 326–337 (1954).

    Google Scholar 

  9. Treybig, L. B.: Concerning homogeneity in totally ordered, connected topological space. Pacific J. Math.13, 1417–1421 (1963).

    Google Scholar 

  10. Wielandt, H.: Unendliche Permutationsgruppen. Lecture notes, University of Tübingen, 1960.

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  1. University of Wisconsin, Madison 6, Wis., USA

    Charles Holland

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  1. Charles Holland
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This work was supported by a grant from the National Science Foundation.

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Holland, C. Transitive lattice-ordered permutation groups. Math Z 87, 420–433 (1965). https://doi.org/10.1007/BF01111722

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