Rapid expansion in finite simple groups

2015/10/13 by Martin W. Liebeck, Liebeck, Martin W., Gili Schul +3
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1510.03740

arxiv created 2015/10/13 · arxiv updated 2015/10/14

Abstract

We show that small normal subsets A of finite simple groups expand very rapidly -- namely, |A²| ≥ |A|^2-ε, where ε>0 is arbitrarily small.

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