F_\pi-residuality of generalized Baumslag—Solitar groups Full article
| Journal |
Archiv der Mathematik
ISSN: 0003-889X , E-ISSN: 1420-8938 |
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| Output data | Year: 2020, Volume: 114, Number: 2, Pages: 129-134 Pages count : 6 DOI: 10.1007/s00013-019-01404-8 | ||||
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 19-11-00039 |
Abstract:
A generalized Baumslag–Solitar group is a finitely generated group that acts on a tree with infinite cyclic edge and vertex stabilizers. A group G is residually a finite \pi-group, for a set of primes \pi, if every non-trivial element of G has non-trivial image in a quotient of G that is a finite \pi-group. We provide a criterion for generalized Baumslag–Solitar groups to be residually a finite \pi-group.
Cite:
Dudkin F.A.
F_\pi-residuality of generalized Baumslag—Solitar groups
Archiv der Mathematik. 2020. V.114. N2. P.129-134. DOI: 10.1007/s00013-019-01404-8 WOS Scopus РИНЦ OpenAlex
F_\pi-residuality of generalized Baumslag—Solitar groups
Archiv der Mathematik. 2020. V.114. N2. P.129-134. DOI: 10.1007/s00013-019-01404-8 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | May 16, 2019 |
| Published print: | Feb 1, 2020 |
Identifiers:
| Web of science: | WOS:000518886300002 |
| Scopus: | 2-s2.0-85075261579 |
| Elibrary: | 43207287 |
| OpenAlex: | W2987479592 |