Profinite completions and Kazhdan's property (T)

Details Profinite completions and Kazhdan's property (T) Profinite completions and Kazhdan's property (T)

2010-05-25

arxiv.org/abs/1005.4566v3

Mathematics

Group Theory

To appear in Groups, Geometry and Dynamics

Scientific paper

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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