👉 In mathematics, a torsion group is a subgroup of a finite group that can be expressed as the direct product of cyclic groups. It's often used in algebraic geometry to study singularities and varieties. For example, let G be a finite group with a presentation p = (G, H) where H is a subgroup of order 2. The direct product of cyclic groups generated by elements of G is called a torsion group in this case.