A note on nilpotent subgroups of automorphism groups of RAAGs
Group Theory
2018-03-23 v1
Abstract
We observe that automorphism groups of right-angled Artin groups contain nilpotent non-abelian subgroups, namely the three-dimensional integer Heisenberg group, provided they admit a certain type of element, called an adjacent transvection. This represents a (minor) extension of a result of Charney-Vogtmann.
Keywords
Cite
@article{arxiv.1803.08284,
title = {A note on nilpotent subgroups of automorphism groups of RAAGs},
author = {Javier Aramayona and Anthony Genevois},
journal= {arXiv preprint arXiv:1803.08284},
year = {2018}
}
Comments
4 pages. Not intended for journal publication. Comments are welcome