TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The aryl-monomer without an aromatic group, as a side chain, is bisphenol or 1,4-dihydroxybenzene/hydroquinone and/or 1,4-dihydroxynaphthalene. The bisphenol is 4,4'-dihydroxybenzophenone, 3,4'-dihydroxybenzophenone, 2,4'-dihydroxybenzophenone, 2,2'-dihydroxybenzophenone, 4,4'-dihydroxydiphenylsulfone, 3,4'-dihydroxydiphenylsulfone, 2,4'-dihydroxydiphenylsulfone, 2,2'-dihydroxydiphenylsulfone and/or 2,2-(bis-4-hydroxyphenyl)hexafluoro propane. The aromatic dihalogen is difluorodiphenylsulfone, difluorobenzophenone, bis-(4-fluorophenyl)phosphine oxide, bis-(4-fluorobenzoyl)benzene, dichlorodiphenylsulfone and/or dichlorobenzophenone. The sulfonating agent is sulfuric acid, chlorosulfonic acid trimethylsilylester (both preferred), oleum, chlorosulfonic acid, acetylsulfate or sulfur trioxide-triethylphosphite-adduct. The solvent is chloroform, dichloromethane, dichloroethane or tetrachloroethane.    TECHNOLOGY FOCUS - POLYMERS - Preparation (Claimed): Preparation of (I) comprises polymerizing at least an aryl-substituted 1,4-dihydroxybenzene/hydroquinone and/or 1,4-dihydroxynaphthaline as aryl-monomer with an aromatic group in combination with an aromatic dihalogen to give arylene compound and binding the sulfonic acid group at least at the aromatic group. Preferred Components: (I) predominantly shows a statistical or a pure block structure. The aromatic groups are bound as a side chain that is directly covalent to one or more aromatic ring of the main chain. The aryl-monomer is phenylhydroquinone, naphthylhydroquinone, anthracenylhydroquinone, 2,5-diphenylhydroquinone, biphenylylhydroquinone, 2,5-bis biphenylylhydroquinone, tetraphenylhydroquinone, 1,4-dihydroxy-2-phenylnaphthaline and/or 1,4-dihydroxy-2-naphthylnaphthaline. Preferred Process: The aryl-monomer is polymerized to an arylene polymer with aromatic groups as a side chain in solution or melt. The aryl-monomer without an aromatic group, as a side chain, is bound to the polymer chain of the polyarylene compound. The arylene polymer with aromatic groups, as a side chain, is sulfonated by the addition of a polymer to a sulfonating agent. The arylene polymer with aromatic groups, as a side chain, is dissolved in an inert solvent and is sulfonated with a sulfonating agent. The sulfonation is carried out at room temperature for a reaction time of 1-8 (preferably 2-4) hours. The sulfonating agent is dissolved in an inert solvent. The sulfonation reaction is carried out at 25-100 (25-50)degrees C. The unstable sulfonic acid group is removed by the follow-up treatment. Preferred Definitions:    Ar1 = phenylene and/or naphthylene;    Ar = phenyl and/or naphthyl;    G1 = sulfone, ketone and/or phenylphosphine;    y, z = greater than or equal to 4; and    x = 20.    EXAMPLE - 4,4'-Difluorodiphenylsulfone (30.51 g), 4,4'-bistrimethylsiloxy diphenylsulfone (11.84 g) and 2,5-bis-trimethylsiloxy-biphenyl (phenylhydroquinone-bis-trimethylsilylether) (29.71 g) were introduced into a glass reactor under moist atmosphere. The monomer was liquefied at 103degrees C by stirring and under an argon current. To the above mixture, cesium fluoride (100 mg) was added for 10 hours and the temperature was gradually raised to 300degrees C. At the final temperature, the reaction was continued for an hour under vacuum without stirring. After cooling the mixture to room temperature, the polymer was dissolved in chloroform (200 ml) and the solution was subsequently stirred with chlorosulfonic acid trimethylsilylester (18.5 ml), dissolved in chloroform (50 ml), reacted and stirred for 24 hours at 50degrees C. The reaction mixture was worked up to give the corresponding sulfonate polyarylene compound.