Frankl's Conjecture for subgroup lattices

Alireza Abdollahi, Russ Woodroofe, Gjergji Zaimi

Published 2016-05-31Version 1

We show that the subgroup lattice of any finite group satisfies Frankl's Union-Closed Conjecture. We show the same for all lattices with a modular coatom, a family which includes all supersolvable and dually semimodular lattices. A common technical result used to prove both may be of some independent interest.