Expansion properties of finite simple groups

Details Expansion properties of finite simple groups Expansion properties of finite simple groups

2010-01-27

arxiv.org/abs/1001.5069v1

Ph. D. thesis. The Hebrew University of Jerusalem (2009)

Mathematics

Group Theory

PhD Thesis, The Hebrew University, September 2009, 115 pages. The results will be included in a future paper

Scientific paper

We prove that if G is SL_2(F) or PSL_2(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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