References & Citations
Mathematics > Group Theory
Title: Right-angled Artin subgroups and free products in one-relator groups
(Submitted on 23 Apr 2024)
Abstract: We investigate criteria ensuring that a one-relator group $G$ contains a right-angled Artin subgroup $A(\Gamma)$, corresponding to a finite graph $\Gamma$. In particular, we prove that if the positive submonoid $T(\Gamma)$, of $A(\Gamma)$, embeds into $G$ then so does all of $A(\Gamma)$, unless $\Gamma$ is totally disconnected. As by-products of our methods we obtain characterisations of one-relator groups that have property $P_{nai}$ and that are $C^*$-simple.
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