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arXiv · 0911.3022

Strong uniform expansion in $\mathrm{SL}(2,p)$

Emmanuel Breuillard·Alex Gamburd
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Abstract

We show that there is an infinite set of primes $\mathcal{P}$ of density one, such that the family of \textit{all} Cayley graphs of $\mathrm{SL}(2,p)$%, $p\in \mathcal{P}$, is a family of expanders.

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Emmanuel Breuillard, Alex Gamburd. 2009-11-16. Strong uniform expansion in $\mathrm{SL}(2,p)$. https://arxiv.org/abs/0911.3022

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