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math.GR2013
Random generators of the symmetric group: diameter, mixing time and spectral gap
Harald A. Helfgott, Ákos Seress, Andrzej Zuk
Let , be a random pair of generators of or . We show that, with probability tending to as , (a) the diameter of with respect to $S…
math.GR2013★ 2 cited
Growth in groups: ideas and perspectives
H. A. Helfgott
This is a survey of methods developed in the last few years to prove results on growth in non-commutative groups. These techniques have their roots in both additive combinatorics a…