http://repositorio.unb.br/handle/10482/43375
Título : | Subgroup separability of Artin groups |
Autor : | Almeida, Kisnney Lima, Igor dos Santos |
Assunto:: | Grupos Artin |
Fecha de publicación : | 2021 |
Editorial : | Elsevier |
Citación : | ALMEIDA, Kisnney; LIMA, Igor. Subgroup separability of Artin groups. Journal of Algebra, v. 583, p. 25-37, 2021. DOI: https://doi.org/10.1016/j.jalgebra.2021.04.032. |
Abstract: | We find a condition on the underlying graph of an Artin group that fully determines if it is subgroup separable. As a consequence, an Artin group is subgroup separable if and only if it can be obtained from Artin groups of ranks at most 2 via a finite sequence of free products and direct products with the infinite cyclic group. This result generalizes the Metaftsis-Raptis criterion for Right-Angled Artin groups. |
DOI: | https://doi.org/10.1016/j.jalgebra.2021.04.032 |
metadata.dc.relation.publisherversion: | https://www.sciencedirect.com/science/article/pii/S0021869321002532?via%3Dihub |
Aparece en las colecciones: | Artigos publicados em periódicos e afins |
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