English

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

Group Theory 2026-04-21 v2

Abstract

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

Keywords

Cite

@article{arxiv.2603.29558,
  title  = {A note on right-angled Artin subgroups of one-relator groups},
  author = {Carl-Fredrik Nyberg-Brodda},
  journal= {arXiv preprint arXiv:2603.29558},
  year   = {2026}
}

Comments

Paper has been withdrawn due to a gap, pointed out by Ashot Minasyan, in the proof of the theorem

R2 v1 2026-07-01T11:45:56.797Z