Expansion properties of finite simple groups
Abstract
We prove that if G is SL2(F) or PSL2(F), where F is a finite field, and A is a set of generators of G, then either |AAA| > |A|(1+epsilon), where epsilon is an absolute positive real number, or AAA=G. As a corollary we get that the diameter of any Cayley graph of G is Poly-Logarithmic in |G|.
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