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math.GR2016
Enumerating fibres of commutator words over p-groups
Matthew Levy
We enumerate the fibres of commutator word maps over p-groups of nilpotency class less than p with exponent p. We also give some examples and enumerate the fibre sizes of all word…
math.GR2013
Images of word maps in almost simple groups and quasisimple groups
Matthew Levy
It has been shown by Lubotzky in [10] that the set of verbal images of a fixed non-abelian finite simple group G is precisely the set of endomorphism invariant subsets of G. Here w…
math.GR2011★ 5 cited
On the probability of satisfying a word in nilpotent groups of class 2
Matthew Levy
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…