  It was shown, that there are 48 magnetic point groups of the Bloch lines
including 22 (11 time-invariant and 11 time-noninvariant) enantimorphic and 26
non-enantiomorphic groups. The Bloch lines with the time-noninvariant
enantiomorphism have identical types (parities) of the magnetization and
polarization dependences. The soliton like Bloch lines are derived from the
symmetry classification. The tip electrode method of the creation of these
Bloch lines is suggested for the potential applications in the magnetoelectric
memory devices. The method of the experimental determination of the
flexomagnetoelectric properties of the Bloch lines carried by the Bloch domain
walls has been suggested. New type of the flexomagnetoelectric coupling,
determined by the spatial derivatives of the electric polarization can be found
in the vicinity of the Curie temperature or compensation point of the
ferrimagnets. The multiple states Bloch line based magnetoelectric/multiferroic
memory is proposed. It can be considered as a concept of the magnetoelectric
enhancement of existing Bloch line memory invention.
