Random groups and property (<i>T</i> ): Żuk's theorem revisited
Random groups and property (<i>T</i> ): Żuk's theorem revisited
We provide a full and rigorous proof of a theorem attributed to Żuk, stating that random groups in the Gromov density model for d > 1 3 have property (T) with high probability. The original paper had numerous gaps; in particular, crucial steps involving passing between different models of random …