Embedding Right-Angled Artin Groups into Brin-Thompson Groups
Group Theory
2016-03-01 v1
Abstract
We prove that every finitely-generated right-angled Artin group can be embedded into some Brin-Thompson group . It follows that many other groups can be embedded into some (e.g., any finite extension of any of Haglund and Wise's special groups), and that various decision problems involving subgroups of are unsolvable.
Cite
@article{arxiv.1602.08635,
title = {Embedding Right-Angled Artin Groups into Brin-Thompson Groups},
author = {James Belk and Collin Bleak and Francesco Matucci},
journal= {arXiv preprint arXiv:1602.08635},
year = {2016}
}
Comments
7 pages, no figures