Cubulating Random Groups at Density Less than 1/6
نویسندگان
چکیده
We prove that random groups at density less than 1 6 act freely and cocompactly on CAT(0) cube complexes, and that random groups at density less than 1 5 have codimension-1 subgroups. In particular, Property (T ) fails to hold at density less than 1 5 . Abstract. Nous prouvons que les groupes aléatoires en densité strictement inférieure à 1 6 agissent librement et cocompactement sur un complexe cubique CAT(0). De plus en densité strictement inférieure à 1 5 , ils ont un sous-groupe de codimension 1; en particulier, la propriété (T ) n’est pas vérifiée.
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