A tire includes a carcass, a tread band having a radially outer tread surface and a plurality of radially extending recesses, and an anti-slip structure disposed in one of the radially extending recesses. The anti-slip structure includes a first end portion, a second triangular middle portion, and a third triangular end portion. The third end portion includes three radially extending projections for providing traction over ice. The shape of the radially extending recess corresponds to the shape of the anti-slip structure such that the anti-slip structure is both radially and rotationally secured within the recess relative to the tread band of the tire.