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- W1676827103 abstract "We show that for integers k > 1 and n > 2, the diameter of the Cayley graph of SL_n(Z/kZ) associated to a standard two-element generating set, is at most a constant times n^2 ln k. This answers a question of A. Lubotzky concerning SL_n(F_p) and is unexpected because these Cayley graphs do not form an expander family. Our proof amounts to a quick algorithm for finding short words representing elements of SL_n(Z/kZ)." @default.
- W1676827103 created "2016-06-24" @default.
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- W1676827103 date "2005-02-11" @default.
- W1676827103 modified "2023-09-27" @default.
- W1676827103 title "Diameters of Cayley graphs of SL_n(Z/kZ)" @default.
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