The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup P_G and for extension of polygroups by polygroups, obtaining boundaries for them. Also, we have analyzed the nilpotencitiy of 𝒜[𝒝], meaning the extension of polygroups 𝒜 and 𝒝.

中文翻译：

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多元群理论的新方面

本文的目的是计算在POLYGROUP的理论可交换程度，更准确地为POLYGROUP P_摹并通过polygroups扩展polygroups的，得到边界他们。另外，我们分析了𝒜[𝒝]的nilpotencitiy，即of和𝒝多基的扩展。