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One-relator groups with torsion are coherent

Louder, L; Wilton, H; (2020) One-relator groups with torsion are coherent. Mathematics Research Letters (In press). Green open access

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Abstract

We show that any one-relator group G = F/⟪w⟫ with torsion is coherent – i.e., that every finitely generated subgroup of G is finitely presented – answering a 1974 question of Baumslag in this case.

Type: Article
Title: One-relator groups with torsion are coherent
Open access status: An open access version is available from UCL Discovery
Publisher version: https://www.intlpress.com/site/pub/pages/journals/...
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10111767
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