Wreath products of ordered permutation groups
W. Charles Holland, Stephen H. McCleary · Pacific Journal of Mathematics · 1969
In this paper we define the ordered wreath product of a chain of ordered permutation groups and characterize it by certain completeness properties.We then use the construction to prove a nonabelian analogue of Hahn's theorem for totally ordered abelian groups.W. CHARLES HOLAND AND STEPHEN H. McCLEARY 420-433.8., The characterization of generalized wreath products (to appear in J. of Algebra).9. J. T. Lloyd, Lattice-ordered groups and o-permutation groups, Dissertation, Tulane University, 1964.10. S. H. McCleary, Orbit configurations of ordered permutation groups, Dissertation, University of Wisconsin, 1967.11., Orbits of stabilizer subgroups of ordered permutation groups (to appear) 12. N. Reilly, Some applications of wreath products and ultra-products in latticeordered groups (to appear).