群序的Conrad性质的一个新刻画及其应用
A new characterization of Conrad's property for group orderings, with applications
摘要：
我们提供了一个纯粹的代数版本的动力学表征康拉德的财产。这种方法允许处理一般的群作用全序空间。作为一个应用，我们给出了一个新的和某种程度上建设性的证明定理首先建立的Linnell：一个有序群有无穷多个排序有不可数多。这一证明是通过推广到不可数可序群的一个关于可由其共轭近似的序的结果而实现的。附录中给出的自由群上的奇异序的例子说明了最后一个结果。
英文摘要：
We provide a pure algebraic version of the dynamical characterization of Conrad's property. This approach allows dealing with general group actions on totally ordered spaces. As an application, we give a new and somehow constructive proof of a theorem first established by Linnell: an orderable group having infinitely many orderings has uncountably many. This proof is achieved by extending to uncountable orderable groups a result about orderings which may be approximated by their conjugates. This last result is illustrated by an example of an exotic ordering on the free group given in the Appendix.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
