论文标题

在等级2的自由组中使用通用单词的嵌入

Embeddings using universal words in the free group of rank 2

论文作者

Mikaelian, V. H.

论文摘要

对于可数的组G = <a | r>由其发电机A和定义关系r提出,我们讨论了一种简单的方法,将g嵌入到如此的2送剂组T中,即在T中明确给出了来自A的生成器的图像,并且T可以自动从关系中定义的T定义关系。所获得的方法将其应用于其特定示例的示例,并将其用于固定组的启用群体中。

For a countable group G = <A | R> presented by its generators A and defining relations R we discuss a simple method to embed G into such a 2-generator group T that the images of generators from A are explicitly given in T, and the defining relations for T can automatically be deduced from the relations R. The obtained method is applied on particular examples of groups, and references of its application for embeddings of recursive groups into finitely presented groups are given.

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