3 papers
math.GR2024
Rational cohomology and Zariski dense subgroups of solvable linear algebraic groups
Milana Golich, Antonio López Neumann, Mark Pengitore
In this article, we establish results concerning the cohomology of Zariski dense subgroups of solvable linear algebraic groups. We show that for an irreducible solvable $\mathbb{Q}…
math.GR2023
Vanishing of the second -cohomology group for most semisimple groups of rank at least 3
Antonio López Neumann
We show vanishing of the second -cohomology group for most semisimple algebraic groups of rank at least 3 over local fields. More precisely, we show this result for $\SL(4)$,…
math.GR2021
Finitely presented simple groups and measure equivalence
Antonio López Neumann
We exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwise not measure equivalent. These groups are lattices acting on products of buildi…