Geodesic
THE CONGRUENCE VARIETY OF METAABELIAN GROUPS IS NOT SELF-DUAL
Acta mathematica Universitatis Comenianae, Tome 63 (1994) no. 1 
G. Czedli. THE CONGRUENCE VARIETY OF METAABELIAN GROUPS IS NOT SELF-DUAL. Acta mathematica Universitatis Comenianae, Tome 63 (1994) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1994_63_1_a9/
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     author = {G. Czedli},
     title = {THE {CONGRUENCE} {VARIETY} {OF} {METAABELIAN} {GROUPS} {IS} {NOT} {SELF-DUAL}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1994},
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     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1994_63_1_a9/}
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Voir la notice de l'article provenant de la source Comenius University

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.