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Rapid expansion in finite simple groups
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Rapid expansion in finite simple groups
classification
math.GR
keywords
epsilonfinitegroupssimplesmallarbitrarilyexpandexpansion
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We show that small normal subsets $A$ of finite simple groups expand very rapidly -- namely, $|A^2| \ge |A|^{2-\epsilon}$, where $\epsilon >0$ is arbitrarily small.
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