descriptionPublicationkeyboard_double_arrow_right Article , Preprint 16 Dec 2022Embargo end date: 01 Jan 2021 English Publisher:Walter de Gruyter GmbHJournal:Journal of Group Theory, volume 0 (issn: 1433-5883, eissn: 1435-4446,

Authors: Leary, Ian; Minasyan, Ashot;

doi: 10.1515/jgth-2022-0009 , 10.48550/arxiv.2112.14546

arXiv: http://arxiv.org/abs/2112.14546

A note on torsion length and torsion subgroups

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Abstract

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.

Related Organizations

University of Southampton
United Kingdom

Keywords

20F99, 20F16, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, 510

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