On the probability of satisfying a word in nilpotent groups of class 2

Details On the probability of satisfying a word in nilpotent groups of class 2 On the probability of satisfying a word in nilpotent groups of class 2

2011-01-22

arxiv.org/abs/1101.4286v1

Mathematics

Group Theory

Scientific paper

Let G be a finite group of nilpotency class 2 and w a group word. In this
short paper we show that the probability that a random n-tuple of elements from
G satisfies w is at least one over the order of G. This answers a special case
of a conjecture of Alon Amit.

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