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math.GR2008★ 14 cited
Growth in SL_3(Z/pZ)
H. A. Helfgott
Let G=SL_3(Z/pZ), p a prime. Let A be a set of generators of G. Then A grows under the group operation. To be precise: denote by |S| the number of elements of a finite set S. Assum…
math.GR2005
Growth and generation in SL_2(Z/pZ)
H. A. Helfgott
We show that every subset of SL_2(Z/pZ) grows rapidly when it acts on itself by the group operation. It follows readily that, for every set of generators A of SL_2(Z/pZ), every ele…