EMBEDDINGS DETERMINED BY UNIVERSAL WORDS IN THE RANK 2 FREE GROUP

Mikaelian V. H.

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EMBEDDINGS DETERMINED BY UNIVERSAL WORDS IN THE RANK 2 FREE GROUP

机译：嵌入由级别2自由群体中的通用词决定

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摘要

We consider a specific method for embedding a countable group that is given by generators and relations into some 2-generated group. This embedding enables us to express the images of generators of the countable group in the 2-generated group and explicitly deduce from the defining relations of the latter those of the former which inherit some special properties. The method can be used to construct the explicit embeddings of recursive groups into finitely presented groups.

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来源
《Siberian Mathematical Journal》 |2021年第1期|共8页
作者
Mikaelian V. H.;
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作者单位

Yerevan State Univ Yerevan Armenia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
embeddings of groups; 2-generated groups; countable groups; free constructions; free product of groups with amalgamation; HNN-extension;

机译：群体嵌入群体;2个生成的群体;可数群体;自由建筑;群体的自由产物与合并;HNN-extension;

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EMBEDDINGS DETERMINED BY UNIVERSAL WORDS IN THE RANK 2 FREE GROUP

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