Kazhdan Constants of Hyperbolic Groups ∗

نویسنده

  • D. V. Osin
چکیده

Let H be an infinite hyperbolic group with Kazhdan property (T ) and let κ(H,X) denote the Kazhdan constant of H with respect to a generating set X . We prove that infX κ(H,X)= 0, where the infimum is taken over all finite generating sets of H . In particular, this gives an answer to a Lubotzky question.

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تاریخ انتشار 2002