Geodesic
Representing lattices by homotopy groups of graphs
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 215-221.

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In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.
Classification : 06B15, 20E05, 20E15
Keywords: subgroup lattice; lattice embedding; free group; homotopy group 
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Tůma, Jiří. Representing lattices by homotopy groups of graphs. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 215-221. http://geodesic.mathdoc.fr/item/CMUC_1999__40_2_a2/