English

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

Group Theory 2009-11-17 v1 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.0911.3022,
  title  = {Strong uniform expansion in $\mathrm{SL}(2,p)$},
  author = {Emmanuel Breuillard and Alex Gamburd},
  journal= {arXiv preprint arXiv:0911.3022},
  year   = {2009}
}
R2 v1 2026-06-21T14:12:09.146Z