7 citations · 32 across the 20 of their papers we have counts for
23 papers
On the isomorphism problem for generalized Baumslag-Solitar groups: angles
Dario Ascari, Montserrat Casals-Ruiz, Ilya Kazachkov
We introduce a new isomorphism invariant for generalized Baumslag-Solitar (GBS) groups, which we call the limit angle. Unlike previously known invariants, which are primarily algeb…
On the isomorphism problem for generalized Baumslag-Solitar groups: invariants and flexible configurations
Dario Ascari, Montserrat Casals-Ruiz, Ilya Kazachkov
We prove that the isomorphism problem is decidable for generalized Baumslag-Solitar (GBS) groups with one quasi-conjugacy class and full support gaps. In order to do so we introduc…
On the isomorphism problem for cyclic JSJ decompositions: vertex elimination
Dario Ascari, Montserrat Casals-Ruiz, Ilya Kazachkov
We introduce two new moves on graphs of groups with cyclic edge groups that preserve the fundamental group. These moves allow us to address the isomorphism problem without the use…
Presentation of kernels of rational characters of right-angled Artin groups
Montserrat Casals-Ruiz, Ilya Kazachkov, Mallika Roy
In this note, we characterise when the kernel of a rational character of a right-anlged Artin group, also known as generalised Bestiva-Brady group, is finitely generated and finite…
Finitely presented subgroups of direct products of graphs of groups with free abelian vertex groups
Montserrat Casals-Ruiz, Jone Lopez de Gamiz Zearra
A result by Bridson, Howie, Miller, and Short states that if is a finitely presented subgroup of the direct product of free groups, then is virtually a nilpotent extension…
On finitely generated normal subgroups of right-angled Artin groups and graph products of groups
Montserrat Casals-Ruiz, Jone Lopez de Gamiz Zearra
A classical result of Schreier states that nontrivial finitely generated normal subgroups of free groups are of finite index, that is, free groups can only quotient to finite group…