Quasi-varieties, congruences, and generalized Dowling lattices
Journal of Algebraic Combinatorics, Tome 4 (1995) no. 4, pp. 277-294.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: Dowling lattices and their generalizations introduced by Hanlon are interpreted as lattices of congruences associated to certain quasi-varieties of sets with group actions. This interpretation leads, by a simple application of Möbius inversion, to polynomial identities which specialize to Hanlon's evaluation of the characteristic polynomials of generalized Dowling lattices. Analogous results are obtained for a few other quasi-varieties.
Mots-clés : dowling lattice, congruence, free algebra, characteristic polynomial, quasi-variety 
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Blass, Andreas. Quasi-varieties, congruences, and generalized Dowling lattices. Journal of Algebraic Combinatorics, Tome 4 (1995) no. 4, pp. 277-294. https://geodesic-test.mathdoc.fr/item/JAC_1995__4_4_a4/