Radically polymerizable dental material, which contains at least one sulphonic acid ester of Formula 1: in which A is H, CN, an aromatic, cycloaliphatic, linear or branched aliphatic C1-C30-hydrocarbon radical or a combination thereof; X is COO— or —CON(R1)— or is absent; B is an aromatic, cycloaliphatic, linear or branched aliphatic C1-C30-hydrocarbon radical, or a combination thereof; R1 is hydrogen or an aromatic, cycloaliphatic, linear or branched aliphatic C1-C10-hydrocarbon radical; m is an integer from 1 to 6, n is an integer from 1 to 6 and p is an integer from 1 to 6; wherein m and p cannot simultaneously be greater than 1. The compounds of Formula 1 are active as chain transfer agents in radical polymerization.