A. Golsefidy

activity

20112024

most citedExpansion in perfect groups

38 citations · 87 across the 12 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.DS2016

Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces

Amir Mohammadi, Alireza Salehi Golsefidy

We classify measures on a homogeneous space which are invariant under a certain solvable subgroup and ergodic under its unipotent radical. Our treatment is independent of character…

math.GR2016★ 4 cited

Super-approximation, II: the p-adic and bounded power of square-free integers cases

Alireza Salehi Golsefidy

Let $Ω$ be a finite symmetric subset of GL $_{n} (Z [1/ q_{0}])$ , and $Γ := ⟨ Ω ⟩$ . Then the family of Cayley graphs ${Cay (π_{m} (Γ), π_{m} (Ω))}_{m}$ is a family of expan…

math.GR2016★ 4 cited

Super-approximation, I: p-adic semisimple case

Alireza Salehi Golsefidy

Let $k$ be a number field, $Ω$ be a finite symmetric subset of $GL_{n_{0}} (k)$ , and $Γ = ⟨ Ω ⟩$ . Let \[ C(Γ):=\{\mathfrak{p}\in V_f(k)|\hspace{1mm} Γ\text{is a boun…

math.CO2016

Sum-product phenomena: p-adic case

Alireza Salehi Golsefidy

The sum-product phenomena over a finite extension K of $Q_{p}$ is explored. The main feature of the results is the fact that the implied constants are independent of $p$ .