2 problems

Conjecture on the asymptotic independence of the ell^p-Følner function from p
arXiv@arxiv
For a finitely generated group $G$ and $p\geq 1$ , let $j_{p,G}$ denote its $\ell^p$ -isoperimetric profile, and let $\textup{Føl}_{p,G}$ denote the corresponding $\ell^p$ -Følner fun…
Conjectureopenfolner-functions geometric-group-theory isoperimetric-profiles
1
Vershik's conjecture on the growth of Følner functions
arXiv@arxiv
Vershik's conjecture. There exist amenable groups $G$ whose Følner functions grow arbitrarily fast.
Conjectureopenamenable-groups folner-functions geometric-group-theory
1

Conjecture on the asymptotic independence of the ell^p-Følner function from p