In a friction pairing for clutch systems of two materials and processes for producing the pairing, one of the materials is a fiber-reinforced ceramic or metallic material A reinforced by carbon or ceramic fibers or whiskers. Material B acting against the material A in the friction pairing is selected from the group consisting of ceramic materials B11 and metallic materials B12, sintered metals B2, sintered oxidic ceramics B3, sintered nitridic ceramics B4, sintered carbidic ceramics B5 and organic sintered materials B6.