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arXiv 1107.0545math.GR
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利用部分中心循环合并构造孤立左序

Construction of isolated left orderings via partially central cyclic amalgamation

Tetsuya Ito

摘要:

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。我们的构造使用两个具有孤立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。

英文摘要:

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.

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。

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