Torsion in the Outer Automorphism Groups of Generalized Baumslag–Solitar Groups Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 1, Pages: 67-75 Pages count : 9 DOI: 10.1134/S0037446623010081 | ||||
| Tags | generalized Baumslag–Solitar group, outer automorphism group, automorphism, automorphism of finite order | ||||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
A generalized Baumslag–Solitar group (GBS-group) is a finitely generated group acting on a tree with infinite cyclic edge and vertex stabilizers. It is known that the outer automorphism groups of some GBS groups contain some p-torsion of unbounded order. We prove that in this case the prime p divides the integral modulus of G. This result answers Levitt’s question.
Cite:
Dudkin F.A.
, Nanying Y.
Torsion in the Outer Automorphism Groups of Generalized Baumslag–Solitar Groups
Siberian Mathematical Journal. 2023. V.64. N1. P.67-75. DOI: 10.1134/S0037446623010081 WOS Scopus OpenAlex
Torsion in the Outer Automorphism Groups of Generalized Baumslag–Solitar Groups
Siberian Mathematical Journal. 2023. V.64. N1. P.67-75. DOI: 10.1134/S0037446623010081 WOS Scopus OpenAlex
Original:
Дудкин Ф.А.
, Ян Н.
Кручение в группах внешних автоморфизмов обобщенных групп Баумслага-Солитера
Сибирский математический журнал. 2023. Т.64. №1. С.79-88. DOI: 10.33048/smzh.2023.64.108 РИНЦ
Кручение в группах внешних автоморфизмов обобщенных групп Баумслага-Солитера
Сибирский математический журнал. 2023. Т.64. №1. С.79-88. DOI: 10.33048/smzh.2023.64.108 РИНЦ
Dates:
| Submitted: | Mar 17, 2022 |
| Accepted: | Jun 15, 2022 |
| Published print: | Feb 27, 2023 |
| Published online: | Feb 27, 2023 |
Identifiers:
| Web of science: | WOS:000941210300008 |
| Scopus: | 2-s2.0-85149049780 |
| OpenAlex: | W4322577039 |