A New Characterization of Supersolvable Lattices

Stanley introduced _supersolvable lattices_ in the 1970s to describe properties that certain lattices have in common with subgroup lattices of supersolvable groups.  In recent work with Stephan Foldes, we have given a new characterization of supersolvable lattices in terms of lattice-theoretic analogues of normal subgroups.  Our characterization simplifies and unifies existing literature on this class.

I’ll introduce this class of lattices with motivating examples, and compare our characterization with existing ones.