Expansion in SLd(Z/qZ), q arbitrary |
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Authors: | Jean Bourgain and Péter P Varjú |
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Abstract: | Let S be a fixed finite symmetric subset of SL
d
(Z), and assume that it generates a Zariski-dense subgroup G. We show that the Cayley graphs of π
q
(G) with respect to the generating set π
q
(S) form a family of expanders, where π
q
is the projection map Z→Z/q
Z. |
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Keywords: | |
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