English

Higher-rank GBS groups: non-positive curvature and biautomaticity

Group Theory 2025-12-04 v3

Abstract

We characterise when a rank nn generalised Baumslag-Solitar group is CAT(0) and when it is biautomatic.

Keywords

Cite

@article{arxiv.2502.06974,
  title  = {Higher-rank GBS groups: non-positive curvature and biautomaticity},
  author = {Sam Shepherd and Motiejus Valiunas},
  journal= {arXiv preprint arXiv:2502.06974},
  year   = {2025}
}

Comments

7 pages, v2: Some minor changes in the introduction; v3: Some minor changes according to the referee's comments. To appear in Geometriae Dedicata