论文标题

在第2等级的自由组中使用通用单词的嵌入(俄罗斯版)

Embeddings using universal words in the free group of rank 2 (Russian version)

论文作者

Mikaelian, V. H.

论文摘要

对于由其发电机A和定义关系给出的任意可数组的G = <a | R>,我们讨论了将G嵌入到某个2转组中的特定方法。我们的嵌入列出了t中的A中的生成器的图像,从组中的A中列出了生成器的图像,并且从相关的关系中,可以从启用t的启动特征中启用R的关系。有限呈现的群体。

For an arbitrary countable group G = <A|R> given by its generators A and defining relations R we discuss a specific method for embedding of G into a certain 2-generator group T. Our embedding explicitly lists the images of generators from A in the group T, and from the relations R it explicitly deduces defining relations for T inheriting certain special features from R. The obtained method can be used in constructions of explicit embeddings of recursive groups into finitely presented groups.

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