School of Mathematics & Physics, University of Lincoln
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 conjecture says that for a word map on a finite nilpotent group G, the probability of the identity element occurring in the image of the word map is at least 1/|G|. This conjecture 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 at least 1/|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.