Frankl's Conjecture for subgroup lattices
  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. 
Alireza Abdollahi, Russ Woodroofe, and Gjergji Zaimi
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