paper

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

arXiv:2310.00414

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.

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

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