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arXiv · 1606.00011

Frankl's Conjecture for subgroup lattices

Alireza Abdollahi·Russ Woodroofe·Gjergji Zaimi
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Abstract

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.

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Alireza Abdollahi, Russ Woodroofe, Gjergji Zaimi. 2016-06-21. Frankl's Conjecture for subgroup lattices. https://doi.org/10.37236/6248

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