Proves that the Cayley graphs of Zariski-dense subgroups of SL2(Z) x SL2(Z) and SL2(Z) ltimes Z^2 modulo q form expander families.
Super-approximation, II : the p -adic case and the case of bounded powers of square-free integers
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Super approximation for $\text{SL}_2\times \text{SL}_2$ and $\text{ASL}_2$
Proves that the Cayley graphs of Zariski-dense subgroups of SL2(Z) x SL2(Z) and SL2(Z) ltimes Z^2 modulo q form expander families.