Geodesic
Planar Sublattices of a Free Lattice. II
Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 17-34

Voir la notice de l'article provenant de la source Cambridge University Press

In Planar sublattices of a free lattice, I [8] we verify Jonsson's conjecture for finite planar lattices; in particular we obtain a characterization of finite planar sublattices of a free lattice among all finite lattices. In the present paper we use arguments of a quite different flavour to obtain another characterization. Let be the family of lattices illustrated in Figures 1, 2, 3, and 4. Our goal is to prove the following theorem: a finite lattice is a planar sublattice of a free lattice if andonly if it does not have a member of as a sublattice. 
Rival, Ivan; Sands, Bill. Planar Sublattices of a Free Lattice. II. Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 17-34. doi: 10.4153/CJM-1979-003-8
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