The present disclosure relates to an oxidising agent composition (M2), a packaging unit (kit of parts) comprising an agent for oxidative hair dyeing (M1) (dye component) and the oxidising agent composition (M2), a method for oxidative hair dyeing with use of the oxidising agent composition (M2), and the use of the oxidising agent composition for oxidative hair dyeing, for oxidative bleaching or lightening, and as fixing agent in a method for permanent shaping.