Abstract
We present a simple sufficient condition which enables one to prove property (T) for a discrete group from its presentation and to compute the Kazhdan constants. This condition applies to some lattices for which property (T) was known and gives a new elementary proof. Using this condition one can construct new examples of Kazhdan groups and finally prove that random groups in the sense of Gromov are infinite, hyperbolic and have property (T).
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Żuk, A. (2002). On Property (T) for Discrete Groups. In: Burger, M., Iozzi, A. (eds) Rigidity in Dynamics and Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04743-9_26
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DOI: https://doi.org/10.1007/978-3-662-04743-9_26
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