A grinding wheel for treatment of a cutting edge, the grinding wheel arranged mountable on a rotatable shaft to be brought in rotation by the driven rotation of the shaft, and including two grinding discs (1≧2) opposing each other and arranged movable relative to each other in the shaft's longitudinal direction and pre-tensioned away from one another, each of the grinding discs having a hub section with fingers protruding freely from the hub section at a radial and an axial component of direction, wherein the fingers are arranged at intervals dimensioned for passage of the corresponding fingers of the opposite grinding disc such that the finger's axial components of direction together form an outwardly open, in an axial cross-sectional plane generally V-shaped notch (V) defined by the intersecting rotational planes of the crosswise running fingers, and in which the fingers each has an area for treatment of the knife's edge.