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 H3(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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