Computing the nonabelian tensor squares of groups of order p3q

• Published in: Arabian journal of mathematics Vol. 10; no. 1; pp. 103 - 113
• Main Authors: Kalteh, O., Jafari, S. Hadi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-04-2021; Springer Nature B.V
• Subjects: Mathematical analysis; Mathematics; Mathematics and Statistics; Prime numbers; Tensors; 20D99; 19C09
• ISSN: 2193-5343; 2193-5351; 2193-5351
• DOI: 10.1007/s40065-020-00300-2

In this paper, we describe the explicit structures of nonabelian tensor squares of nonabelian groups of order
p
3
q
, 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.