Let G 𝐺 G be a group. A G 𝐺 G -pseudotorsor is a Group Action α : G × T → T : 𝛼 → 𝐺 𝑇 𝑇 \alpha:G\times T\to T such that the Shear Map ⟨ α , π 2 ⟩ : G × T → T × T : 𝛼 subscript 𝜋 2 → 𝐺 𝑇 𝑇 𝑇 \langle\alpha,\pi_{2}\rangle:G\times T\to T\times T is an Isomorphism.