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arXiv · 2603.29558

A note on right-angled Artin subgroups of one-relator groups

Carl-Fredrik Nyberg-Brodda
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Abstract

We give a short proof of the following result due to Howie: if $A(\Gamma)$ is a right-angled Artin group embedding into some one-relator group, then $\Gamma$ is a finite forest. The proof only uses elementary Bass--Serre theory and classical properties of one-relator groups.

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Carl-Fredrik Nyberg-Brodda. 2026-03-31. A note on right-angled Artin subgroups of one-relator groups. https://arxiv.org/abs/2603.29558

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