由抽象自同构群重构无圈偏序III：修饰CFPO
The Reconstruction of Cycle-free Partial Orders from their Abstract Automorphism Groups III : Decorated CFPOs
摘要：
在这三篇论文中，我们研究了两个无圈偏序何时可以共享一个抽象自同构群。这个问题是M提出的。鲁宾在他的回忆录中谈到了树木的重建。在这最后的文件中，我们给出了描述的一种方式来构建'装饰' CFPO附加树CFPO和锥传递CFPO的元素之间。然后，我们表明，自同构群的组件的装饰CFPO是二阶定义的抽象自同构群的装饰CFPO。
英文摘要：
In this triple of papers, we examine when two cycle-free partial orders can share an abstract automorphism group. This question was posed by M. Rubin in his memoir concerning the reconstruction of trees. In this final paper, we give describe a way of constructing `decorated' CFPOs by attaching treelike CFPOs to and between the elements of a cone transitive CFPO. We then show that the automorphism groups of the components of of a decorated CFPO are second order definable in the abstract automorphism group of the decorated CFPO.
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