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Article Dans Une Revue Transactions of the American Mathematical Society Année : 2011

Cubulating random groups at density less than 1/6

Résumé

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.

Dates et versions

hal-00858012 , version 1 (04-09-2013)

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Yann Ollivier. Cubulating random groups at density less than 1/6. Transactions of the American Mathematical Society, 2011, 363 (9), pp.4701-4733. ⟨10.1090/S0002-9947-2011-05197-4⟩. ⟨hal-00858012⟩
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