紧群中相对n次幂零度的界
Bounds for the relative n-th nilpotency degree in compact groups
摘要：
本文的研究线索可以追溯到W. H. Gustafson在1973年提出了一个新的群理论，其中描述了两个随机选择的群元素交换的概率。在同一工作中，他给了一些界限，这种概率，提供信息的组结构。我们最近得到了他的结果有限群的一些推广。在这里，我们改进他们的背景下，紧凑的群体。
英文摘要：
The line of investigation of the present paper goes back to a classical work of W. H. Gustafson of the 1973, in which it is described the probability that two randomly chosen group elements commute. In the same work, he gave some bounds for this kind of probability, providing information on the group structure. We have recently obtained some generalizations of his results for finite groups. Here we improve them in the context of the compact groups.
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