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Keywords:
lattice of subgroup; lattice of weak congruence; special element in lattice; class of group
lattice of subgroup; lattice of weak congruence; special element in lattice; class of group
Summary:
Classes of groups are identified and characterized in lattice-theoretic terms, i.e., by common properties of the weak congruence lattices of groups in the class. In particular, the necessary and sufficient condition for a class of groups to be a variety has been given in terms of the lattice of weak congruences of groups.
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