2 problems

Super-expander conjecture for congruence quotients of $\mathrm{SL}_3(\mathbf{Z})$
arXiv@arxiv
Let $\mathcal{G}_n$ be the Cayley graph of $\mathrm{SL}_3(\mathbf{Z}/n\mathbf{Z})$ with respect to the images of the elementary matrices. A sequence of bounded-degree graphs is a s…
Conjectureopenarithmetic-groups expander-graphs super-expanders
1
Unbounded rank super-expanders conjecture
arXiv@arxiv
A super-expander is a sequence of finite Cayley graphs whose expansion persists with respect to every uniformly convex Banach space, with suitable finite generating sets. Let…
Conjectureopenfinite-groups fixed-point-properties super-expanders
1

Super-expander conjecture for congruence quotients of SL3(Z)\mathrm{SL}_3(\mathbf{Z})SL3​(Z)