Geodesic
Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n\mathbb{ℤ})$: I
Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 987-1011 Cet article a éte moissonné depuis la source EMS Press

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We prove that Cayley graphs of SL2​(Z/pnZ) are expanders with respect to the projection of any fixed elements in SL2​(Z) generating a Zariski-dense subgroup.
DOI : 10.4171/jems/137
Classification : 20-XX, 05-XX, 68-XX, 00-XX 
@article{JEMS_2008_10_4_a4,
     author = {Jean Bourgain and Alex Gamburd},
     title = {Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n\mathbb{\ensuremath{\mathbb{Z}}})$: {I}},
     journal = {Journal of the European Mathematical Society},
     pages = {987--1011},
     year = {2008},
     volume = {10},
     number = {4},
     doi = {10.4171/jems/137},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/137/}
}
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Jean Bourgain; Alex Gamburd. Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n\mathbb{ℤ})$: I. Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 987-1011. doi: 10.4171/jems/137

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