Comptes Rendus
no. 19-20
Group theory/Topology
A remark on homomorphisms from right-angled Artin groups to mapping class groups

Presented by: the Editorial Board

Javier Aramayona1; Juan Souto2
1 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
2 Department of Mathematics, University of British Columbia, Vancouver, Canada
Comptes Rendus. Mathématique, Volume 351 (2013) no. 19-20, pp. 713-717.

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).

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).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.09.022

Javier Aramayona 1; Juan Souto 2

1 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
2 Department of Mathematics, University of British Columbia, Vancouver, Canada 
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Javier Aramayona; Juan Souto. A remark on homomorphisms from right-angled Artin groups to mapping class groups. Comptes Rendus. Mathématique, Volume 351 (2013) no. 19-20, pp. 713-717. doi : 10.1016/j.crma.2013.09.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.09.022/

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☆ The second author has been partially supported by NSERC Discovery and Accelerator Supplement grants.

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