An agent containing at least one oxidizing agent and an active substance combination comprising the components (a) a cationic polymer, which has at least one structural element of the general formula in which - R 1 is a hydrogen atom or a (C 1 to C 4) alkyl group, - R 2, R 3, and R 4 independently of one another stand for (C 1 to C 4) alkyl groups, (C 2 to C 4) alkenyl groups, or (C 2 to C 4) hydroxyalkyl groups, - m is a number 1, 2, 3, or 4, and - X - is a physiologically acceptable organic or inorganic anion, (b) at least one quaternary ammonium compound of the formula (R 5) y (Me) (4-y) N + Y - whereby - R 5 is a linear or branched (C 8 to C 30) alkyl group, - y is 1 or 2, and - Y - is a physiologically acceptable organic or inorganic anion, and (c) at least one quaternary ammonium compound, which contains at least one group of the formula, R 6 -A 1 -A 2 -A 3 -, whereby - R 6 stands for a saturated or unsaturated, linear or branched, optionally substituted (C 8 to C 30) hydrocarbon group, - A 1 stands for a carbonyl group or a direct bond, - A 2 stands for a direct bond, NH, or an oxygen atom, and - A 3 denotes a (C 2 to C 4) alkylene group or a (C 2 to C 4) hydroxyalkylene group, with the provisos that A 3 binds to the quaternary nitrogen atom of the quaternary ammonium compound, and A 3 denotes a (C 2 to C 4) hydroxyalkylene group, if A 1 and A 2 stand for a direct bond. (a) a cationic polymer, which has at least one structural element of the general formula in which - R 1 is a hydrogen atom or a (C 1 to C 4) alkyl group, - R 2, R 3, and R 4 independently of one another stand for (C 1 to C 4) alkyl groups, (C 2 to C 4) alkenyl groups, or (C 2 to C 4) hydroxyalkyl groups, - m is a number 1, 2, 3, or 4, and - X - is a physiologically acceptable organic or inorganic anion, - R 1 is a hydrogen atom or a (C 1 to C 4) alkyl group, - R 2, R 3, and R 4 independently of one another stand for (C 1 to C 4) alkyl groups, (C 2 to C 4) alkenyl groups, or (C 2 to C 4) hydroxyalkyl groups, - m is a number 1, 2, 3, or 4, and - X - is a physiologically acceptable organic or inorganic anion, (b) at least one quaternary ammonium compound of the formula (R 5) y (Me) (4-y) N + Y - whereby - R 5 is a linear or branched (C 8 to C 30) alkyl group, - y is 1 or 2, and - Y - is a physiologically acceptable organic or inorganic anion, and - R 5 is a linear or branched (C 8 to C 30) alkyl group, - y is 1 or 2, and - Y - is a physiologically acceptable organic or inorganic anion, and (c) at least one quaternary ammonium compound, which contains at least one group of the formula, R 6 -A 1 -A 2 -A 3 -, whereby - R 6 stands for a saturated or unsaturated, linear or branched, optionally substituted (C 8 to C 30) hydrocarbon group, - A 1 stands for a carbonyl group or a direct bond, - A 2 stands for a direct bond, NH, or an oxygen atom, and - A 3 denotes a (C 2 to C 4) alkylene group or a (C 2 to C 4) hydroxyalkylene group, with the provisos that A 3 binds to the quaternary nitrogen atom of the quaternary ammonium compound, and A 3 denotes a (C 2 to C 4) hydroxyalkylene group, if A 1 and A 2 stand for a direct bond. - R 6 stands for a saturated or unsaturated, linear or branched, optionally substituted (C 8 to C 30) hydrocarbon group, - A 1 stands for a carbonyl group or a direct bond, - A 2 stands for a direct bond, NH, or an oxygen atom, and - A 3 denotes a (C 2 to C 4) alkylene group or a (C 2 to C 4) hydroxyalkylene group, with the provisos that A 3 binds to the quaternary nitrogen atom of the quaternary ammonium compound, and A 3 denotes a (C 2 to C 4) hydroxyalkylene group, if A 1 and A 2 stand for a direct bond.