Crosslinked polymers with excellent physical properties are prepared by heating at 180°-300° C. the imides of the formula I ##STR1## in which E is allyl or methallyl, R is hydrogen, alkyl, alkenyl, cycloalkyl, aryl or benzyl when n is 1, and R is alkylene or arylene when n is 2. The polymers can be used, in particular, for the preparation of glass fiber-reinforced and carbon fibre-reinforced plastics and as electrical insulating materials.
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