论文标题
有限的元环P组的Amit assurst猜想
The Amit-Ashurst conjecture for finite metacyclic p-groups
论文作者
论文摘要
关于有限nilpotent群体上有关单词图的Amit猜想已被证明可以为某些类别的组持有。广义的阿米特（Amit）猜想说，有限的nilpotent g组上的单词映射图像中发生的元素的概率为0，或者至少为1/| g |。我们指出了Ashurst的工作，我们将广义的Amit猜想命名为Amit-Assurst猜想，并表明Amit-Assurst猜想对具有循环最大亚组的有限P组持有。
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 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.
