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arxiv: 0911.3022 · v1 · submitted 2009-11-16 · 🧮 math.GR · math.CO

Strong uniform expansion in SL(2,p)

classification 🧮 math.GR math.CO
keywords familymathcalmathrmcayleydensityexpandersexpansiongraphs
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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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