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Journal of the American Mathematical Society· 2014Q1

Growth in finite simple groups of Lie type

László Pyber, Endre Szabó

Short summary

Finite simple groups of Lie type with a set of generators A satisfy either |A^3| > |A|^(1+ε) (growth) or A^3 equals the entire group, where ε depends on the group's Lie rank.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics