Abstract:In a 2121 paper with G´abor Cz´edli, we introduced and verified the Three-pendant Three-crown Property, 3P3C, for congruence lattices of slim (no M3 sublattice), planar, semimodular lattices. The proof is very long; in part, because it relies on Cz´edli’s 2021 paper on lamps.
This paper verifies 3P3C using the Swing Lemma, an elementary and short approach.
2020 Mathematics Subject Classification. 06C10.
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