One-relator groups with torsion are coherent

Larsen Louder; Henry Wilton

One-relator groups with torsion are coherent

Group Theory 2020-08-11 v3 Geometric Topology

Authors: Larsen Louder , Henry Wilton

Abstract

We show that any one-relator group $G=F/\langle\langle w\rangle\rangle$ with torsion is coherent -- i.e., that every finitely generated subgroup of $G$ is finitely presented -- answering a 1974 question of Baumslag in this case.

Keywords

group theory finite group theory

Cite

@article{arxiv.1805.11976,
  title  = {One-relator groups with torsion are coherent},
  author = {Larsen Louder and Henry Wilton},
  journal= {arXiv preprint arXiv:1805.11976},
  year   = {2020}
}

Comments

11 pages, no figures. Version 2 incorporates the referee's comments, and corrects a mistake in Section 4. Version 3 is the final version accepted for publication

One-relator groups with torsion are coherent

Abstract

Keywords

Cite

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