3 papers
math.GR2026
Outer automorphism groups and the Atiyah Conjecture
Sam P. Fisher, Andrew Ng
Let be the fundamental group of a compact surface, a finitely generated free group, or more generally a finitely generated right-angled Artin group. We prove that the von Neuma…
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 is coherent if and only if its second -Betti number vanishes if and only if it…
math.GR2023
Division rings for group algebras of virtually compact special groups and -manifold groups
Sam P. Fisher, Pablo Sánchez-Peralta
Let be a division ring and let be either a torsion-free virtually compact special group or a finitely generated torsion-free -manifold group. We embed the group algebra…