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Transitive lattice-ordered permutation groups. (English) Zbl 0147.01204


Keywords:

group theory
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References:

[1] Birkhoff, G.: Lattice theory. Amer. Math. Soc. Providence, 1948. · Zbl 0033.10103
[2] Clifford, A. H.: A non-commutative ordinally simple linearly ordered group. Proc. Am. Math. Soc.2, 902-903 (1952). · Zbl 0044.01301
[3] Fuchs, L.: Partially ordered algebraic systems. Reading: Addison-Wesley 1963. · Zbl 0137.02001
[4] Holland, C.: The lattice-ordered group of automorphisms of an ordered set. Michigan Math. J.10, 399-408 (1963). · Zbl 0116.02102
[5] Holland, C. A class of simple lattice-ordered groups (to appear in Proc. Am. Math. Soc.) · Zbl 0135.06401
[6] Kurosh, A. G.: The theory of groups, Vol. 1. Chelsea, New York, 1960. · Zbl 0094.24501
[7] Lloyd, J. T.: Lattice ordered groups and o-permutation groups. Dissertation, Tulane University, 1964.
[8] Ohkuma, T.: Sur quelques ensembles ordonn?s lin?airment. Fund. Math.43, 326-337 (1954). · Zbl 0073.27102
[9] Treybig, L. B.: Concerning homogeneity in totally ordered, connected topological space. Pacific J. Math.13, 1417-1421 (1963). · Zbl 0119.17902
[10] Wielandt, H.: Unendliche Permutationsgruppen. Lecture notes, University of T?bingen, 1960.
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