Quasi-Varieties, Congruences, and Generalized Dowling Lattices

  • Authors:

  • Andreas Blass

  • Affiliations:

  • Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1003. ablass@umich.edu

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 1995

Quantified Score

Hi-index 0.00

Visualization

Abstract

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.