THE CONGRUENCE VARIETY OF METAABELIAN GROUPS IS NOT SELF-DUAL
G. CZEDLI
Abstract.
A lattice identity is given such that it holds but its dual fails in the normal subgroup lattices of metaabelian groups. Thus the congruence variety of metaabelian groups is not self-dual; this is the first example for a modular congruence variety which is not self-dual.
AMS subject classification.
Keywords.
Congruence variety, congruence modularity, normal subgroup lattice, metaabelian group
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