Subgroup Separability of Artin Groups
Group Theory
2021-05-10 v4
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.
Cite
@article{arxiv.2010.13222,
title = {Subgroup Separability of Artin Groups},
author = {Kisnney Almeida and Igor Lima},
journal= {arXiv preprint arXiv:2010.13222},
year = {2021}
}
Comments
15 pages, to be published in Journal of Algebra