In this paper, we describe the explicit structures of nonabelian tensor squares of nonabelian groups of order \(p^3q\), where p and q are distinct prime numbers and \(p>2\). Our method is based on determining the structures of their Schur multipliers by applying some well-known results and the presentations of groups, which leads us to obtain the orders of their nonabelian tensor squares.

中文翻译：

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计算阶数为$$ \ pmb {p ^ 3q} $$ p 3 q的组的非阿贝张量平方

在本文中，我们描述了阶为\（p ^ 3q \）的非阿贝尔群的非阿贝尔张量平方的显式结构，其中p和q是不同的素数，而\（p> 2 \）。我们的方法基于通过应用一些著名的结果和组的表示来确定其Schur乘数的结构，这使我们获得了它们的非阿贝尔张量平方的阶。