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

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

2009-11-16

arxiv.org/abs/0911.3022v1

Mathematics

Group Theory

Scientific paper

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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