Geodesic
Uniform expansion bounds for Cayley graphs of $\mathrm{SL}_2(F_p)$
Jean Bourgain1 ; Alex Gamburd2
1 School of Mathematics<br/>Institute for Advanced Study<br/>Princeton, NJ 08540<br/>United States
2 Department of Mathematics<br/>University of California at Santa Cruz<br/>Santa Cruz, CA 95064<br/>United States
Annals of mathematics, Tome 167 (2008) no. 2, pp. 625-642.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that Cayley graphs of $\mathrm{SL}_2(\mathbb{F}_p)$ are expanders with respect to the projection of any fixed elements in $\mathrm{SL}(2, \mathbb{Z})$ generating a non-elementary subgroup, and with respect to generators chosen at random in $\mathrm{SL}_2(\mathbb{F}_p)$.
DOI : 10.4007/annals.2008.167.625

Jean Bourgain 1 ; Alex Gamburd 2

1 School of Mathematics<br/>Institute for Advanced Study<br/>Princeton, NJ 08540<br/>United States
2 Department of Mathematics<br/>University of California at Santa Cruz<br/>Santa Cruz, CA 95064<br/>United States 
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     title = {Uniform expansion bounds for {Cayley} graphs of $\mathrm{SL}_2(F_p)$},
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     pages = {625--642},
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     volume = {167},
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Jean Bourgain; Alex Gamburd. Uniform expansion bounds for Cayley graphs of $\mathrm{SL}_2(F_p)$. Annals of mathematics, Tome 167 (2008) no. 2, pp. 625-642. doi : 10.4007/annals.2008.167.625. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.167.625/

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