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arXiv · 1803.08284

A note on nilpotent subgroups of automorphism groups of RAAGs

Javier Aramayona·Anthony Genevois
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Abstract

We observe that automorphism groups of right-angled Artin groups contain nilpotent non-abelian subgroups, namely $H_3(\mathbb{Z})$ 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.

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Javier Aramayona, Anthony Genevois. 2018-03-22. A note on nilpotent subgroups of automorphism groups of RAAGs. https://arxiv.org/abs/1803.08284

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