Tůma, J. Representing lattices by homotopy groups of graphs. (English) Zbl 0977.06003 Commentat. Math. Univ. Carol. 40, No. 2, 215-221 (1999). The author proves that every lattice can be embedded into the subgroup lattice of a free group. He uses a method based on the technique of the homotopy group of a graph. Reviewer: Jiří Rachůnek (Olomouc) MSC: 06B15 Representation theory of lattices 20E05 Free nonabelian groups 20E15 Chains and lattices of subgroups, subnormal subgroups Keywords:subgroup lattice; lattice embedding; free group; homotopy group PDFBibTeX XMLCite \textit{J. Tůma}, Commentat. Math. Univ. Carol. 40, No. 2, 215--221 (1999; Zbl 0977.06003) Full Text: EuDML