On Property (T) for Discrete Groups

Andrzej Żuk ()
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Andrzej Żuk: CNRS, Ecole Normale Supérieure de Lyon, Unité de Mathématiques Pures et Appliquées

A chapter in Rigidity in Dynamics and Geometry, 2002, pp 473-482 from Springer

Abstract: 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).

Keywords: Random Graph; Discrete Group; Random Group; Generic Presentation; Hyperbolic Group (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04743-9_26

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DOI: 10.1007/978-3-662-04743-9_26

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