A note on nilpotent subgroups of automorphism groups of RAAGs

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.

4 pages. Not intended for journal publication. Comments are welcome

References in corpus (1)

• Subgroups and quotient groups of automorphism groups of RAAGs