Torsion, torsion length and finitely presented groups
Journal of Group Theory
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Chiodo, M., & Vyas, R. (2018). Torsion, torsion length and finitely presented groups. Journal of Group Theory, 21 (5), 949-971. https://doi.org/10.1515/jgth-2018-0022
We show that a construction by Aanderaa and Cohen used in their proof of the Higman Embedding Theorem preserves torsion length. We give a new construction showing that every finitely presented group is the quotient of some C'(1/6) finitely presented group by the subgroup generated by its torsion elements. We use these results to show there is a finitely presented group with infinite torsion length which is C'(1/6), and thus word-hyperbolic and virtually torsion-free.
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (659102)
External DOI: https://doi.org/10.1515/jgth-2018-0022
This record's URL: https://www.repository.cam.ac.uk/handle/1810/280509