A note on torsion length and torsion subgroups
A note on torsion length and torsion subgroups
Answering questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented.
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
16 December 2022
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Leary, Ian and Minasyan, Ashot
(2022)
A note on torsion length and torsion subgroups.
Journal of Group Theory.
(doi:10.1515/jgth-2022-0009).
Abstract
Answering questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented.
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Submitted date: 3 August 2022
Accepted/In Press date: 30 September 2022
Published date: 16 December 2022
Identifiers
Local EPrints ID: 469063
URI: http://eprints.soton.ac.uk/id/eprint/469063
ISSN: 1433-5883
PURE UUID: 3477cec3-695c-466f-ae78-8c21d9feb5d8
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Date deposited: 05 Sep 2022 17:05
Last modified: 17 Mar 2024 07:26
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