Roman Sauer

collaborators

2 papers

math.GR2026

Kazhdan groups of dimension $16$ with prescribed second $ℓ^{2}$ -Betti number

Francesco Fournier-Facio, Roman Sauer

We construct a family of simple, lacunary hyperbolic groups with property $(T)$ that have rational cohomological dimension~ $16$ and whose second $ℓ^{2}$ -Betti number can be prescr…

math.GR2026

Higher property T and below-rank phenomena of lattices

Uri Bader, Roman Sauer

The purpose of this paper is twofold. We explore higher property T as an abstract group-theoretic property. In particular, we provide new operator-algebraic characterizations of hi…

Kazhdan groups of dimension 16 with prescribed second ℓ2-Betti number

Higher property T and below-rank phenomena of lattices

Kazhdan groups of dimension $16$ with prescribed second $ℓ^{2}$ -Betti number