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A connection between creation of toroidal moments and breaking of therelativistic crystalline group associated to a given crystal, is presented inthis paper. Indeed, if magnetoelectric effects exist, the interaction betweenelectrons and elementary magnetic cells appears in such a way that theresulting local polarization and magnetization break the local relativisticcrystalline symmetry. Therefore, Goldstone bosons, also associated to toroidalmoments, are created and, as a consequence, corresponding toroidal phases incrystals. The list of the Shubnikov groups compatible with this kind of phasesis given and possible consequences in superconductor theory in magnetoelectriccrystals are examined.Comment: 7 pages, 4 figures, Enhanced and english corrected version of the  1993 published on

Broken relativistic symmetry groups, toroidal moments and superconductivity in magnetoelectric crystals