Right-angled Artin subgroups and free products in one-relator groups
Right-angled Artin subgroups and free products in one-relator groups
We investigate criteria ensuring that a one-relator group G contains a right-angled Artin subgroup A(Γ), corresponding to a finite graph Γ. In particular, we prove that if Γ is a forest with at least one edge and the positive submonoid T(Γ), of A(Γ), embeds into G then so does all of A(Γ). As by-products of our methods we obtain characterisations of one-relator groups that have property Pnai and that are C∗-simple.
One-relator groups, right-angled Artin groups, trace monoids, property $P_{nai}$, $C^*$-simplicity
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Valiunas, Motiejus
23b32cdf-14c1-409c-9fc7-d53b54623233
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Valiunas, Motiejus
23b32cdf-14c1-409c-9fc7-d53b54623233
Minasyan, Ashot and Valiunas, Motiejus
(2025)
Right-angled Artin subgroups and free products in one-relator groups.
Annales de l'Institut Fourier.
(In Press)
Abstract
We investigate criteria ensuring that a one-relator group G contains a right-angled Artin subgroup A(Γ), corresponding to a finite graph Γ. In particular, we prove that if Γ is a forest with at least one edge and the positive submonoid T(Γ), of A(Γ), embeds into G then so does all of A(Γ). As by-products of our methods we obtain characterisations of one-relator groups that have property Pnai and that are C∗-simple.
Text
Trace submonoids
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Restricted to Repository staff only until 18 October 2025.
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Accepted/In Press date: 21 July 2025
Keywords:
One-relator groups, right-angled Artin groups, trace monoids, property $P_{nai}$, $C^*$-simplicity
Identifiers
Local EPrints ID: 504705
URI: http://eprints.soton.ac.uk/id/eprint/504705
ISSN: 1777-5310
PURE UUID: 6b7a8189-583e-49ae-8b01-19bdca192d8d
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Date deposited: 18 Sep 2025 16:35
Last modified: 19 Sep 2025 01:43
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Author:
Motiejus Valiunas
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