Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2022, Volume: 19, Number: 2, Pages: 809-814 Pages count : 6 DOI: 10.33048/semi.2022.19.068 | ||||
| Tags | right-angled Artin group, generalized Baumslag–Solitar group, embedding problem | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 19-11-00039 |
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.
Cite:
Dudkin F.A.
Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2022. V.19. N2. P.809-814. DOI: 10.33048/semi.2022.19.068 WOS Scopus РИНЦ
Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2022. V.19. N2. P.809-814. DOI: 10.33048/semi.2022.19.068 WOS Scopus РИНЦ
Dates:
| Submitted: | Aug 26, 2022 |
| Published print: | Nov 11, 2022 |
Identifiers:
| Web of science: | WOS:000886649600033 |
| Scopus: | 2-s2.0-85145826509 |
| Elibrary: | 50336854 |
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