Profinite completions and Kazhdan's property (T)

2010/05/25 by Aka, Menny
#22E40 #FOS: Mathematics #Group Theory (math.GR) #Primary 20E18 #Secondary 11h55

paper · doi:10.48550/arxiv.1005.4566

Abstract

We show that property (T) is not profinite, that is, we construct two finitely generated residually finite groups which have isomorphic profinite completions while one admits property (T) and the other does not. This settles a question raised by M. Kassabov.

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