Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups. / Dudkin, F. A.
в: Siberian Electronic Mathematical Reports, Том 19, № 2, 2022, стр. 809-814.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Mutual embeddings of right-angled Artin groups and generalized Baumslag-Solitar groups
AU - Dudkin, F. A.
N1 - Chebunin, M. G. Modifications of Karlin and Simon text MODELS / M. G. Chebunin, A. P. Kovalevskii // Siberian Electronic Mathematical Reports. – 2022. – Vol. 19, No. 2. – P. 708-723. The reported study was funded by RFBR and CNRS according to the research project No. 19-51-15001.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Embedding problem.
KW - Generalized baumslag-solitar group
KW - Right-angled artin group
UR - https://www.scopus.com/inward/record.url?eid=2-s2.0-85145826509&partnerID=40&md5=ff64003008fc37df4e9c27f955047e54
UR - https://www.elibrary.ru/item.asp?id=50336845
UR - https://www.mendeley.com/catalogue/f44805a2-2037-38da-9735-3fdd3de9ae49/
U2 - 10.33048/semi.2022.19.068
DO - 10.33048/semi.2022.19.068
M3 - Article
VL - 19
SP - 809
EP - 814
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
IS - 2
ER -
ID: 45807712