43 citations · 213 across the 16 of their papers we have counts for
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math.GR2007★ 11 cited
Connectivity of the Product Replacement Algorithm Graph of PSL(2,q)
Shelly Garion
The product replacement algorithm is a practical algorithm to construct random elements of a finite group G. It can be described as a random walk on a graph whose vertices are the…
math.GR2007★ 6 cited
Connectivity of the Product Replacement Graph of Simple Groups of Bounded Lie Rank
Nir Avni, Shelly Garion
The Product Replacement Algorithm is a practical algorithm for generating random elements of a finite group. The algorithm can be described as a random walk on a graph whose vertic…
math.GR2007★ 43 cited
Commutator maps, measure preservation, and T-systems
Shelly Garion, Aner Shalev
Let G be a finite simple group. We show that the commutator map is almost equidistributed as the order of G goes to infinity. This somewhat surprising result…