A remark on homomorphisms from right-angled Artin groups to mapping class groups

Aramayona, Javier; Souto, Juan

Comptes Rendus. Mathématique, Tome 351 (2013) no. 19-20, pp. 713-717.

Nous examinons la rigidité de certains homomorphismes entre groupes dʼArtin rectangulaires et groupes modulaires. Nous démontrons que, si Γ⊂Map(S) est un sous-groupe qui contient quelque puissance de tout twist de Dehn, alors tout homomorphisme injectif Γ→Map(S) est la restriction dʼun automorphisme de Map(S).

We study rigidity properties of certain homomorphisms from right-angled Artin groups to mapping class groups. As an application, we show that if Γ⊂Map(S) is a subgroup that contains some power of every Dehn twist, then any injective homomorphism Γ→Map(S) is a restriction of an automorphism of Map(S).

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