Computing the nonabelian tensor squares of groups of order pmb {p^3q}

Abstract

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.