Seminario Teoría de Grupos
Subgroups of direct products of RAAGs
Ponente: Jone Lopez (Warwick- UPV)Fecha: jueves 07 de octubre de 2021 - 10:30Lugar: Aula Naranja (ICMAT) & online: conectaha.csic.es/b/yag-mxb-nuz-m1o
Subgroups of direct products of free groups, and more generally, of limit groups have been extensively studied since the 1950's due to their interesting subgroup structure. Finitely presented subgroups of direct products of free groups (or even of limit groups) have a tame structure and the main algorithmic problems are decidable in this class. Nevertheless, Bridson showed that this is not true in the entire class of RAAGs, that is, there are finitely presented subgroups of direct products of RAAGs with undecidable decision problems. This leads to the question of for which class of RAAGs, finitely presented subgroups of the direct product of groups in this class have a good algorithmic behaviour.
In this talk, we motivate the study of subgroups of direct products of RAAGs and we give partial answers to this question.