7 citations · 36 across the 25 of their papers we have counts for
27 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…
On the elementary theory of graph products of groups
Montserrat Casals-Ruiz, Ilya Kazachkov, Javier de la Nuez González
In this paper we study the elementary theory of graph products of groups and show that under natural conditions on the vertex groups we can recover (the core of) the underlying gra…
Limit groups over coherent right-angled Artin groups
Montserrat Casals-Ruiz, Andrew Duncan, Ilya Kazachkov
A new class of groups , containing all coherent RAAGs and all toral relatively hyperbolic groups, is defined. It is shown that, for a group in the class $\mathcal{…