A finitely presented subgroup of the automorphism group of a right-angled Artin group

Emmanuel Toinet (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

Let G be a right-angled Artin group. We use geometric methods to compute a presentation of the subgroup H of Aut(G) consisting of the automorphisms that send each generator to a conjugate of itself. This generalizes a result of McCool on basis-conjugating automorphisms of free groups.

Domaines: Théorie des groupes [math.GR]

Emmanuel Toinet. A finitely presented subgroup of the automorphism group of a right-angled Artin group. 2011. ⟨hal-00638353⟩