April 23, 2024Open Access

Right-angled Artin subgroups and free products in one-relator groups

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Abstract

We investigate criteria ensuring that a one-relator group G contains a right-angled Artin subgroup A (), corresponding to a finite graph. In particular, we prove that if the positive submonoid T (), of A (), embeds into G then so does all of A (), unless is totally disconnected. As by-products of our methods we obtain characterisations of one-relator groups that have property P₍₀₈ and that are C^*-simple.

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Minasyan et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6e09eb6db64358765c57c https://doi.org/https://doi.org/10.48550/arxiv.2404.15479

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