摘要:The determination of G⊗G for linear groups was mentioned as an open problem by Brown et al. (1987). Hannebauer focused on the nonabelian tensor square of SL(2, q), PSL(2, q), GL(2, q) and PGL(2, q) for all q ≥ 5 and q = 9 in a contribution of 1990. The aim of this paper is to determine the nonabelian tensor square G⊗G for these groups up to isomorphism by the use of the commutator subgroup and Schur multiplier.