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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 1, Pages 154–163
DOI: https://doi.org/10.33048/smzh.2021.62.113 (Mi smj7545) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Embeddings determined by universal words in the rank $2$ free group

V. H. Mikaelianab

a Yerevan State University, Yerevan, Armenia
b American University of Armenia, Yerevan, Armenia
Full-text PDF (431 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2021.62.113
Abstract: 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.
Keywords: embeddings of groups, $2$-generated groups, countable groups, free constructions, free product of groups with amalgamation, HNN-extension.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 20RF-152
18T-1A306
The author was supported by the Joint Program of the Russian Foundation for Basic Research (Grant 20RF–152) and the Science Committee of Ministry of Education and Science of the Republic of Armenia (Grant 18T–1A306).
Received: 31.07.2020
Revised: 03.09.2020
Accepted: 09.10.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 123–130
DOI: https://doi.org/10.1134/S0037446621010134
Bibliographic databases:
Document Type: Article
UDC: 512.543.2
MSC: 35R30
Language: Russian
Citation: V. H. Mikaelian, “Embeddings determined by universal words in the rank $2$ free group”, Sibirsk. Mat. Zh., 62:1 (2021), 154–163; Siberian Math. J., 62:1 (2021), 123–130
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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