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The Amit–Ashurst conjecture for finite metacyclic p-groups

The Amit–Ashurst conjecture for finite metacyclic p-groups

Abstract The Amit conjecture about word maps on finite nilpotent groups has been shown to hold for certain classes of groups. The generalised Amit conjecture says that the probability of an element occurring in the image of a word map on a finite nilpotent group G is either 0, or …