Russ Woodroofe: The Frankl Conjecture for subgroup lattices

Povzetek. A conjecture attributed to Frankl (from 1979) asks whether every finite lattice L has an join-irreducible element x such that at most half the element of L lie above x. In joint work with Alireza Abdollahi and Gjergji Zaimi, we have verified this conjecture for all subgroup lattices of finite groups, as well as a broad family of additional lattices.