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Easy bounds on the growth of Grigorchuk group


Speaker: Zoran Sunic, Texas A&M
Location: 2112 MSB
Start time: Thu, May 15 2008, 11:00AM

We show that the growth function f(n) of Grigorchuk group satisfies the inequalities A e^(n^(1/2)) < f(n) < B e^(n^(log_12 8)) for some positive constants A and B. None of these bounds is the best known bound, but they are rather easy to establish.