Charlotte Scott Centre for Algebra

Anitha Thillaisundaram (Lund University) will talk about her work on the 17th of June in INB3235 at 3pm.
Everyone is welcome to attend.
Title:The Amit-Ashurst conjecture for finite metacyclic p-groups
Abstract:The Amit conjecturesays that for aword map on afinite nilpotent group G,the probability of the identity element occurring in the image of the word map isat least1/|G|. This conjecturehasbeen 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 groupG is either0, or at least1/|G|. Noting the work of Ashurst, we name the generalised Amit conjecture the Amit-Ashurst conjecture and show that the Amit-Ashurst conjecture holds for finite p-groups with a cyclic maximal subgroup.
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