Explicit growth and expansion for SL_2

Details Explicit growth and expansion for SL_2 Explicit growth and expansion for SL_2

2012-01-05

arxiv.org/abs/1201.1139v2

Mathematics

Number Theory

37 pages; v2, minor corrections

Scientific paper

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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