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A note on torsion length and torsion subgroups

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.
1433-5883
Leary, Ian
57bd5c53-cd99-41f9-b02a-4a512d45150e
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
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).

Record type: Article

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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More information

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
ORCID for Ian Leary: ORCID iD orcid.org/0000-0001-8300-4979
ORCID for Ashot Minasyan: ORCID iD orcid.org/0000-0002-4986-2352

Catalogue record

Date deposited: 05 Sep 2022 17:05
Last modified: 17 Mar 2024 07:26

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