Geodesic
Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n \mathbb{Z})$: II
Journal of the European Mathematical Society, Tome 11 (2009) no. 5, pp. 1057-1103 Cet article a éte moissonné depuis la source EMS Press

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We prove that Cayley graphs of SLd​(Z/pnZ) are expanders with respect to the projection of any fixed elements in SLd​(Z) generating a Zariski dense subgroup.
DOI : 10.4171/jems/175
Classification : 20-XX, 05-XX, 68-XX, 00-XX 
@article{JEMS_2009_11_5_a4,
     author = {Jean Bourgain and Alex Gamburd},
     title = {Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n \mathbb{Z})$: {II}},
     journal = {Journal of the European Mathematical Society},
     pages = {1057--1103},
     year = {2009},
     volume = {11},
     number = {5},
     doi = {10.4171/jems/175},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/175/}
}
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%F JEMS_2009_11_5_a4
Jean Bourgain; Alex Gamburd. Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n \mathbb{Z})$: II. Journal of the European Mathematical Society, Tome 11 (2009) no. 5, pp. 1057-1103. doi: 10.4171/jems/175

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