English

The isomorphism problem for small-rose generalized Baumslag-Solitar groups

Group Theory 2024-08-15 v2 Geometric Topology

Abstract

A generalized Baumslag-Solitar group is a finitely generated group that acts on a tree with infinite-cyclic vertex and edge stabilizers. In this paper, we show that the isomorphism problem is solvable for small rose non-ascending generalized Baumslag- Solitar groups.

Cite

@article{arxiv.2310.00414,
  title  = {The isomorphism problem for small-rose generalized Baumslag-Solitar groups},
  author = {Daxun Wang},
  journal= {arXiv preprint arXiv:2310.00414},
  year   = {2024}
}

Comments

new example added, rewrote proof of Proposition 3.2 and proof of Theorem 5.1, incorporated changes suggested by referee, to appear in the Journal of Algebra

R2 v1 2026-06-28T12:37:10.314Z