论文标题
花圈产品中的平均顺序
Average order in wreath products
论文作者
论文摘要
我们获得了两个有限基团花圈产物元素的平均顺序的确切公式。然后将我们的注意力集中在$ p $ group上，以$ p $ $ p $，我们对花圈产品的平均顺序进行估算，以$ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a＆a $和平均订单的最高顺序和确切公式的平均订单，以及用于分布$ a \ wr的元素的确切公式。$ a \ wr B. $最后显示了几个序列的序列，我们可以在几个序列中找到一些限制的数字，这是一个限制的数字$ p $ - 群体具有无穷大的基础。
We obtain an exact formula for the average order of elements of a wreath product of two finite groups. Then focussing our attention on $p$-groups for primes $p$, we give an estimate for the average order of a wreath product $A\wr B$ in terms of maximum order of elements of $A$ and average order of $B$ and an exact formula for the distribution of orders of elements of $A\wr B.$ Finally, we show how wreath products can be used to find several rational numbers which are limits of average orders of a sequence of $p$-groups with cardinalities going to infinity.
