English

On the linearity of HNN-extensions with abelian base group

Group Theory 2011-01-04 v2

Abstract

We show that an HNN-extension with finitely generated abelian base group is Z-linear if and only if it is residually finite.

Keywords

Cite

@article{arxiv.0810.2389,
  title  = {On the linearity of HNN-extensions with abelian base group},
  author = {V. Metaftsis and E. Raptis and D. Varsos},
  journal= {arXiv preprint arXiv:0810.2389},
  year   = {2011}
}

Comments

Proof of proposition 2.1 clarified, typos corrected

R2 v1 2026-06-21T11:30:27.661Z