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Groups of automorphisms of linearly ordered sets
Published online by Cambridge University Press: 17 April 2009
Abstract
I show that a group of order-automorphisms of a linearly ordered set can be expressed as an unrestricted direct product in which each factor is either the infinite cyclic group or else a group of order-automorphisms of a densely ordered set. From this a couple of simple group embedding theorems can be derived. The technique used to obtain the main result of this paper was motivated by the Erdös-Hajnal inductive classification of scattered sets.
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- Copyright © Australian Mathematical Society 1976
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