Generalized Baumslag–Solitar Groups Universally Equivalent to Tree Groups Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
||
|---|---|---|---|
| Output data | Year: 2024, Volume: 63, Number: 4, Pages: 249-257 Pages count : 9 DOI: 10.1007/s10469-025-09790-5 | ||
| Tags | generalized Baumslag–Solitar group, universal equivalence, existential equivalence | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Russian Science Foundation | 24-11-00119 |
Abstract:
A finitely generated group that acts on a tree so that all vertex and edge stabilizers are infinite cyclic groups is called a generalized Baumslag–Solitar group (GBS group). Every GBS group is the fundamental group π1( ) of a suitable labeled graph . If is a labeled tree, then we call π1( ) a tree GBS group. It is known that GBS groups isomorphic to tree groups are themselves tree groups. It is shown that GBS groups universally equivalent to tree groups do not have to be tree groups. Moreover, we give a description of all GBS groups that are universally equivalent to tree groups.
Cite:
Dudkin F.A.
Generalized Baumslag–Solitar Groups Universally Equivalent to Tree Groups
Algebra and Logic. 2024. V.63. N4. P.249-257. DOI: 10.1007/s10469-025-09790-5 WOS Scopus OpenAlex
Generalized Baumslag–Solitar Groups Universally Equivalent to Tree Groups
Algebra and Logic. 2024. V.63. N4. P.249-257. DOI: 10.1007/s10469-025-09790-5 WOS Scopus OpenAlex
Original:
Дудкин Ф.А.
Обобщённые группы Баумслага-Солитера, универсально эквивалентные древесным
Алгебра и логика. 2024.
Обобщённые группы Баумслага-Солитера, универсально эквивалентные древесным
Алгебра и логика. 2024.
Dates:
| Submitted: | May 20, 2024 |
| Accepted: | Sep 18, 2024 |
| Published online: | Aug 26, 2025 |
Identifiers:
| Web of science: | WOS:001556046100001 |
| Scopus: | 2-s2.0-105014083395 |
| OpenAlex: | W4413674066 |
Citing:
Пока нет цитирований