JournalsggdVol. 6, No. 2pp. 221–229

Profinite completions and Kazhdan’s property (T)

  • Menny Aka

    The Hebrew University of Jerusalem, Israel
Profinite completions and Kazhdan’s property (T) cover
Download PDF

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.

Cite this article

Menny Aka, Profinite completions and Kazhdan’s property (T). Groups Geom. Dyn. 6 (2012), no. 2, pp. 221–229

DOI 10.4171/GGD/155