Geodesic
Planar groups
Journal of Algebraic Combinatorics, Tome 19 (2004) no. 3, pp. 283-295.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In abstract algebra courses, teachers are often confronted with the task of drawing subgroup lattices. For purposes of instruction, it is usually desirable that these lattices be planar graphs (with no crossings). We present a characterization of abelian groups with this property. We also resolve the following problem in the abelian case: if the subgroup lattice is required to be drawn hierarchically (that is, in monotonic order of index within the group), when is it possible to draw the lattice without crossings?
Keywords: graph, subgroup lattice, planar, abelian group 
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     author = {Starr, Colin L. and Turner, Galen E. III},
     title = {Planar groups},
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Starr, Colin L.; Turner, Galen E. III. Planar groups. Journal of Algebraic Combinatorics, Tome 19 (2004) no. 3, pp. 283-295. http://geodesic.mathdoc.fr/item/JAC_2004__19_3_a1/