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Wreath products of
ordered permutation groups
W. Charles (Wilbur) Holland Jr. and Stephen H. McCleary |
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Vol. 31 (1969), No. 3, 703–716
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Abstract |
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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. |
Mathematical Subject Classification
Primary: 06.75
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Milestones
Received: 6 May 1969
Published: 1 December 1969
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Authors |
| W. Charles (Wilbur) Holland Jr. | |
| Stephen H. McCleary | |
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