The lattice-ordered group of automorphisms of an $\alpha $-set.
Stephen H. McCleary
Source: Pacific J. Math. Volume 49, Number 2
(1973), 417-424.
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06A55
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102945106
Zentralblatt MATH identifier: 0275.06024
Zentralblatt MATH identifier: 0257.06007
Mathematical Reviews number (MathSciNet): MR0354484
References
[1] L. Gilman and M. Jerison, Rings of Continuous Functions, Van Nostrand,Princeton, N. J., I960.
[2] F. Hausdorff, Grundzuge der Mengenlehre, Veit and Co., Leipzig, Germany, 1914.
Mathematical Reviews (MathSciNet): MR11:88d
Zentralblatt MATH: 45.0123.01
[3] C. Holland, The lattice-ordered group of automorphisms of an ordered set, Michigan Math. J., 10 (1963), 399-408.
Mathematical Reviews (MathSciNet): MR28:1237
[4] C. Holland, Transitivelattice-ordered permutation groups, Math. Zeit., 87 (1965), 420-433.
Mathematical Reviews (MathSciNet): MR31:2310
Zentralblatt MATH: 0147.01204
[5] A. Kurosch, The Theory of Groups, Chelsea, New York, 1960.
Mathematical Reviews (MathSciNet): MR22:727
[6] J. T. Lloyd, Lattice-ordered groups and o-permutation groups, Dissertation, Tulane University, 1964.
[7] S. H. McCleary, Pointwise suprema of order-preservingpermutations,Illinois J. Math., 16 (1972), 69-75.
Mathematical Reviews (MathSciNet): MR45:3275
Zentralblatt MATH: 0258.06013
[8] S. H. McCleary,The closed prime subgroups of certain ordered permutation groups, Pacific J. Math., 31 (1969), 745-753.
Mathematical Reviews (MathSciNet): MR42:1736
Zentralblatt MATH: 0175.30603
Pacific Journal of Mathematics
