Abstract: A rope has a rope core formed of load-bearing aramide fiber strands laid parallel to each other in concentric layers of strands and strands of an outermost layer laid with opposite lay to the rope core. As a result of the opposite lay, the torques which occur in the layers of strands when under load cancel each other out and a non-twisting rope structure is achieved. An elastic intersheath is positioned between the oppositely laid layers of strands to protect the strands against abrasion and to transmit the torque over a wide area in the rope.