| Texto completo | |
| Autor(es): |
Kochloukova, Dessislava H.
;
Zearra, Jone Lopez De Gamiz
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 176, n. 2, p. 24-pg., 2024-03-01. |
| Resumo | |
We generalise some known results for limit groups over free groups and residually free groups to limit groups over Droms RAAGs and residually Droms RAAGs, respectively. Weshow that limit groups over Droms RAAGs are free-by-(torsion-free nilpotent). We prove that ifSis a full subdirect product of typeFP(s)(Q) of limit groups over Droms RAAGs with trivial center, then the projection ofSto the direct product of anysof the limit groups over Droms RAAGs has finite index. Moreover, we compute the growth of homology groupsand the volume gradients for limit groups over Droms RAAGs in any dimension and for finitely presented residually Droms RAAGs of type F Pmin dimensions up tom. In particu-lar, this gives the values of the analytic L-2-Betti numbers of these groups in the respectived imensions (AU) | |
| Processo FAPESP: | 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |