Necessary condition for isomorphism of GBS(n,1) groups with non-trivial center Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
||
|---|---|---|---|
| Output data | Year: 2025, Volume: 22, Number: 2, Pages: 1401-1407 Pages count : 7 DOI: 10.33048/semi.2025.22.085 | ||
| Tags | generalized Baumslag--Solitar group, isomorphism problem, group with non-trivial center | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Russian Science Foundation | 24-21-00214 |
Abstract:
A finitely generated group G_n that acts on a tree T such that all edge stabilizers are infinite cyclic groups and all vertex stabilizers are free Abelian groups of rank n will be called a generalized Baumslag--Solitar group of type (n,1) (GBS(n,1) group). In this paper we find a criterion for such groups to have a non-trivial center and prove that if n⩾3 and two such groups with non-trivial center are isomorphic, then the corresponding GBS(1,1) groups must also be isomorphic.
Cite:
Dudkin F.A.
Necessary condition for isomorphism of GBS(n,1) groups with non-trivial center
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N2. P.1401-1407. DOI: 10.33048/semi.2025.22.085 Scopus
Necessary condition for isomorphism of GBS(n,1) groups with non-trivial center
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N2. P.1401-1407. DOI: 10.33048/semi.2025.22.085 Scopus
Dates:
| Submitted: | May 31, 2025 |
| Published print: | Nov 27, 2025 |
| Published online: | Nov 27, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105024896669 |
Citing:
Пока нет цитирований