English

Linearity of fundamental groups of graphs of virtually cyclic groups

Group Theory 2026-05-27 v2

Abstract

We characterize when a generalized Baumslag-Solitar group is linear, and extend the result to the fundamental groups of a graph of groups with infinite virtually cyclic vertex and edge groups.

Keywords

Cite

@article{arxiv.2507.17570,
  title  = {Linearity of fundamental groups of graphs of virtually cyclic groups},
  author = {Hsuan-Yu Wang},
  journal= {arXiv preprint arXiv:2507.17570},
  year   = {2026}
}