Geodesic
Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 809-814

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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. 
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     author = {F. A. Dudkin},
     title = {Mutual embeddings of right-angled {Artin} groups and generalized {Baumslag-Solitar} groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {809--814},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a8/}
}
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F. A. Dudkin. Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 809-814. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a8/