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Article Dans Une Revue International Mathematics Research Notices Année : 2021

Virtually cocompactly cubulated Artin-Tits groups

Résumé

We give a complete classification of virtually cocompactly cubulated Artin-Tits groups (i.e. having a finite index subgroup acting geometrically on a CAT(0) cube complex). A particular case is that for n≥4, the n-strand braid group is not virtually cocompactly cubulated. The methods extend to give a classification of virtually cocompactly cubulated groups among mapping class group of surfaces and (outer) automorphism groups of free groups.

Dates et versions

hal-01292054 , version 1 (22-03-2016)

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Citer

Thomas Haettel. Virtually cocompactly cubulated Artin-Tits groups. International Mathematics Research Notices, 2021, 2021 (4), pp.2919-2961. ⟨10.1093/imrn/rnaa013⟩. ⟨hal-01292054⟩
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