A subgroup of GL_n over the function field F_p(t), with simple connected Zariski closure and full adjoint trace field, has uniform spectral gap along congruence quotients by square-free polynomials whose factor degrees have no small prime factors.
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Towards super-approximation in positive characteristic
A subgroup of GL_n over the function field F_p(t), with simple connected Zariski closure and full adjoint trace field, has uniform spectral gap along congruence quotients by square-free polynomials whose factor degrees have no small prime factors.