Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n\mathbb{ℤ})$ : I

Jean Bourgain, Alex Gamburd

Source record

Source: Crossref

Published: Dec 31, 2008

DOI: 10.4171/jems/137

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Source abstract

We prove that Cayley graphs of \mathrm{SL}_2(ℤ/p^nℤ) are expanders with respect to the projection of any fixed elements in \mathrm{SL}_2(ℤ) generating a Zariski-dense subgroup.

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