Explicit growth and expansion for SL₂
classification
🧮 math.NT
math.GR
keywords
expansionexplicitgrowthargumentbourgain-gamburdcayleygivegraphs
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We give explicit versions of Helfgott's Growth Theorem for $\SL_2$, as well as of the Bourgain-Gamburd argument for expansion of Cayley graphs modulo primes of subgroups of $\SL_2(\Zz)$ which are Zariski-dense in $\SL_2$.
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