Title:	Subgroup separability of Artin groups
Authors:	Almeida, Kisnney Lima, Igor dos Santos
Assunto::	Grupos Artin
Issue Date:	2021
Publisher:	Elsevier
Citation:	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
Appears in Collections:	Artigos publicados em periódicos e afins

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.