Construction of isolated left orderings via partially central cyclic amalgamation
Construction of isolated left orderings via partially central cyclic amalgamation
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通过部分中心循环合并构造孤立的左序
DOI：
10.2748/tmj/1458248862
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Tetsuya Ito
中科院分区：
文献类型：
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作者：
Tetsuya Ito
本文给出了正锥是单生成的群的孤立左序的一种新的构造方法。我们的构造使用了两个具有孤立排序的群的合并自由积。我们构造了许多新的孤立序的例子，并给出了一个孤立左序的例子，它具有以前已知的孤立序所不具有的各种性质。
We give a new method to construct isolated left orderings of groups whose positive cones are finitely generated. Our construction uses an amalgamated free product of two groups having an isolated ordering. We construct a lot of new examples of isolated orderings, and give an example of isolated left orderings having various properties which previously known isolated orderings do not have.