A perspiration-inhibiting composition in the form of an oil-in-water emulsion that is not a microemulsion, containing a) at least one perspiration-inhibiting aluminum salt in a total quantity from 2 to 40 wt%, preferably 8 to 35 wt%, particularly preferably 10 to 28 wt%, and extraordinarily preferably 12 to 20 wt%, wherein the "wt%" indications refer to the total weight of active substance, free of water of crystallization and free of ligands, in the agent, and in addition thereto b) in a total quantity from 0.1 to 2 wt%, preferably 0.3 to 1.5 wt%, particularly preferably 0.5 to 1.1 wt%, extraordinarily preferably 0.6 to 0.8 wt%, at least one surface-active compound having an HLB value in the range from 9 to 15, selected from the partial esters of a polyglycerol that comprises 3, 4, or 5 glycerol units with a linear or branched, saturated or unsaturated carboxylic acid having 8 to 22 carbon atoms and with an organic edible acid, and in addition thereto c) in a total quantity from 0.1 to 2.0 wt%, preferably 0.3 to 1.2 wt%, particularly preferably 0.6 to 1.1 wt%, extraordinarily preferably 0.8 to 1.0 wt%, at least one N-acyl-L-glutamic acid sodium salt of formula (GLUT-1) in which R 1 CO represents a linear or branched, saturated or unsaturated acyl group having 6 to 22 carbon atoms, preferably having 8 to 18 carbon atoms, and in addition thereto d) at least one cosmetic oil, liquid under standard conditions, that is not a fragrance and not an essential oil, in a total quantity from 0.5 to 10 wt%, preferably 1 to 8 wt%, particularly preferably 1.5 to 6 wt%, extraordinarily preferably 2 to 4.5 wt%, and in addition thereto e) at least one hydrogel-forming polymer in a total quantity from 0.08 to 1 wt%, preferably 0.1 to 0.8 wt%, particularly preferably 0.15 to 0.6 wt%, extraordinarily preferably 0.2 to 0.4 wt%, and in addition thereto f) in a total quantity from 0.05 to 4 wt%, preferably 0.5 to 3.5 wt%, particularly preferably 1 to 3 wt%, and extraordinarily preferably 1.5 to 2.5 wt%, at least one structuring agent selected from linear saturated 1-alkanols having 14 to 22 carbon atoms, glyceryl mono- and diesters of linear or branched, saturated or unsaturated carboxylic acids having 8 to 22 carbon atoms, linear saturated 1-alkanecarboxylic acids having 14 to 22 carbon atoms, mono- and diesters of ethylene glycol with linear saturated and unsaturated fatty acids having 12 to 30, in particular 14 to 22 carbon atoms, the mono-, di-, tri-, and tetraesters of pentaerythritol with linear saturated and unsaturated fatty acids having 12 to 30, in particular 14 to 22 carbon atoms, as well as mixtures of said structuring agents, and in addition thereto g) water in a total quantity from 30 to 90 wt%, preferably 40 to 80 wt%, particularly preferably 60 to 78 wt%, extraordinarily preferably 65 to 73 wt%, wherein the "wt%" indications refer in each case to the total weight of the composition. a) at least one perspiration-inhibiting aluminum salt in a total quantity from 2 to 40 wt%, preferably 8 to 35 wt%, particularly preferably 10 to 28 wt%, and extraordinarily preferably 12 to 20 wt%, wherein the "wt%" indications refer to the total weight of active substance, free of water of crystallization and free of ligands, in the agent, and in addition thereto b) in a total quantity from 0.1 to 2 wt%, preferably 0.3 to 1.5 wt%, particularly preferably 0.5 to 1.1 wt%, extraordinarily preferably 0.6 to 0.8 wt%, at least one surface-active compound having an HLB value in the range from 9 to 15, selected from the partial esters of a polyglycerol that comprises 3, 4, or 5 glycerol units with a linear or branched, saturated or unsaturated carboxylic acid having 8 to 22 carbon atoms and with an organic edible acid, and in addition thereto c) in a total quantity from 0.1 to 2.0 wt%, preferably 0.3 to 1.2 wt%, particularly preferably 0.6 to 1.1 wt%, extraordinarily preferably 0.8 to 1.0 wt%, at least one N-acyl-L-glutamic acid sodium salt of formula (GLUT-1) in which R 1 CO represents a linear or branched, saturated or unsaturated acyl group having 6 to 22 carbon atoms, preferably having 8 to 18 carbon atoms, and in addition thereto d) at least one cosmetic oil, liquid under standard conditions, that is not a fragrance and not an essential oil, in a total quantity from 0.5 to 10 wt%, preferably 1 to 8 wt%, particularly preferably 1.5 to 6 wt%, extraordinarily preferably 2 to 4.5 wt%, and in addition thereto e) at least one hydrogel-forming polymer in a total quantity from 0.08 to 1 wt%, preferably 0.1 to 0.8 wt%, particularly preferably 0.15 to 0.6 wt%, extraordinarily preferably 0.2 to 0.4 wt%, and in addition thereto f) in a total quantity from 0.05 to 4 wt%, preferably 0.5 to 3.5 wt%, particularly preferably 1 to 3 wt%, and extraordinarily preferably 1.5 to 2.5 wt%, at least one structuring agent selected from linear saturated 1-alkanols having 14 to 22 carbon atoms, glyceryl mono- and diesters of linear or branched, saturated or unsaturated carboxylic acids having 8 to 22 carbon atoms, linear saturated 1-alkanecarboxylic acids having 14 to 22 carbon atoms, mono- and diesters of ethylene glycol with linear saturated and unsaturated fatty acids having 12 to 30, in particular 14 to 22 carbon atoms, the mono-, di-, tri-, and tetraesters of pentaerythritol with linear saturated and unsaturated fatty acids having 12 to 30, in particular 14 to 22 carbon atoms, as well as mixtures of said structuring agents, and in addition thereto g) water in a total quantity from 30 to 90 wt%, preferably 40 to 80 wt%, particularly preferably 60 to 78 wt%, extraordinarily preferably 65 to 73 wt%,