The invention relates to an aluminium alloy strip composed of an AA 5xxx-type aluminium alloy containing at least 4 wt. % of Mg in addition to Al and inevitable impurities. The object of the invention of proposing an aluminium alloy strip in an AlMg aluminium alloy strip which is resistant to intercrystalline corrosion despite having high strength and an Mg content of at least 4 wt. %, is achieved according to a first teaching of the present invention by an aluminium alloy strip that has a recrystallized microstructure, the grain size (GS) of which in μm has the following relation to the Mg content (c_Mg) in wt. % :GS≥22+2*c_Mg, and wherein the aluminium alloy of the aluminium alloy strip has the composition described herein.