2 papers
math.GR2025
Finite dimensional amenable groups
Anna Erschler, Ivan Mitrofanov
We show that an amenable group of finite Assouad-Nagata dimension satisfies the property of Shalom. Such infinite groups are known to admit a virtual homomorphism onto $\m…
math.GR2025
Poisson boundary of group extensions
Anna Erschler, Joshua Frisch
Given a finitely generated group, the well-known Stability Problem asks whether the non-triviality of the Poisson-Furstenberg boundary (which is equivalent to the existence of non-…