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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 809–814
DOI: https://doi.org/10.33048/semi.2022.19.068 (Mi semr1541) 		 
Mathematical logic, algebra and number theory

Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups

F. A. Dudkinab

a Sobolev Institute of Mathematics, 4, pr. Koptyuga, Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.068
Abstract: A finitely generated group $G$ acting on a tree so that all vertex and edge stabilizers are infinite cyclic groups is called a generalized Baumslag–Solitar group ($GBS$ group). In this paper, we study when a given $GBS$ group can be embedded in a right-angled Artin group ($RAAG$) and vice versa. An exhaustive description has been obtained in both cases. If an embedding exists, then we discuss its construction.
Keywords: right-angled Artin group, generalized Baumslag–Solitar group, embedding problem.
Funding agency Grant number
Russian Science Foundation 19-11-00039
The work was supported by the Russian Science Foundation, project 19-11-00039.
Received August 26, 2022, published November 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20E07
Language: English
Citation: F. A. Dudkin, “Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 809–814
Citation in format AMSBIB
\Bibitem{Dud22}
\by F.~A.~Dudkin
\paper Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 809--814
\mathnet{http://mi.mathnet.ru/semr1541}
\crossref{https://doi.org/10.33048/semi.2022.19.068}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4508350}
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