Residual π-Finiteness of Tubular Groups. Algebra Logic Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2024, Volume: 63, Number: 1, Pages: 28-41 Pages count : 14 DOI: 10.1007/s10469-024-09768-9 | ||
| Tags | residual π-finiteness, residual finiteness, tubular groups. | ||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
| 2 | Russian Science Foundation | 23-41-10003 |
Abstract:
A finitely generated group G, which acts on a tree so that all edge stabilizers are infinite cyclic groups and all vertex stabilizers are free rank 2 Abelian groups, is called a tubular group. Every tubular group is isomorphic to the fundamental group π1(G) of a suitable f inite graph G of groups. We prove a criterion for residual π-finiteness of tubular groups presented by trees of groups. Also we state a criterion for residual p-finiteness of tubular groups whose corresponding graph contains one edge outside a maximal subtree.
Cite:
Dudkin F.A.
, Usikov A.V.
Residual π-Finiteness of Tubular Groups. Algebra Logic
Algebra and Logic. 2024. V.63. N1. P.28-41. DOI: 10.1007/s10469-024-09768-9 WOS Scopus РИНЦ OpenAlex
Residual π-Finiteness of Tubular Groups. Algebra Logic
Algebra and Logic. 2024. V.63. N1. P.28-41. DOI: 10.1007/s10469-024-09768-9 WOS Scopus РИНЦ OpenAlex
Original:
Дудкин Ф.А.
, Усиков А.В.
Аппроксимируемость трубчатых групп конечными π-группами
Алгебра и логика. 2024. Т.63. №1. С.39-57. DOI: 10.33048/alglog.2024.63.104 РИНЦ
Аппроксимируемость трубчатых групп конечными π-группами
Алгебра и логика. 2024. Т.63. №1. С.39-57. DOI: 10.33048/alglog.2024.63.104 РИНЦ
Dates:
| Submitted: | Mar 7, 2024 |
| Accepted: | Dec 4, 2024 |
| Published print: | Dec 21, 2024 |
| Published online: | Dec 21, 2024 |
Identifiers:
| Web of science: | WOS:001380885300001 |
| Scopus: | 2-s2.0-85212857674 |
| Elibrary: | 80175136 |
| OpenAlex: | W4405674978 |
Citing:
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