Pablo S'anchez-Peralta

activity

20232026

collaborators

Showing 2026Show all

4 papers · 1 filter

math.GR2026

Thurston norm, polytopes and splitting complexity

Andrei Jaikin-Zapirain, Monika Kudlinska, Pablo Sánchez-Peralta

Let $G$ be a finitely generated torsion-free group satisfying the Strong Atiyah Conjecture. Assuming that $b_{1}^{(2)} (G) = 0$ , we associate to each surjective integral character $ϕ$ t…

math.GR2026

Coherent RFRS groups

Sam P. Fisher, Marco Linton, Pablo Sánchez-Peralta

We prove that a finitely generated virtually RFRS group of cohomological dimension at most $2$ is coherent if and only if its second $L^{2}$ -Betti number vanishes if and only if it…

math.GT2026

Simon's knot genus problem and Lewin $3$ -manifold groups

Pablo Sánchez-Peralta

We provide a positive answer to an old problem of Jonathan K. Simon: if $K$ and $K^{'}$ are two knots such that there is an epimorphism from the knot group of $K$ to the knot group of…

math.GR2026

On the top-dimensional $L^{2}$ -Betti number of residually poly- $Z$ groups

Sam P. Fisher, Pablo Sánchez-Peralta

Let $G$ be a residually poly- $Z$ group of finite type. We prove that $G$ admits a poly- $Z$ quotient with kernel $N$ satisfying $\mathrm{cd}_{\mathbb Q}(N) < \mathbb…

Thurston norm, polytopes and splitting complexity

Coherent RFRS groups

Simon's knot genus problem and Lewin 3-manifold groups

On the top-dimensional L2-Betti number of residually poly-Z groups

Simon's knot genus problem and Lewin $3$ -manifold groups

On the top-dimensional $L^{2}$ -Betti number of residually poly- $Z$ groups