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Representing lattices by homotopy groups of graphs. (English) Zbl 0977.06003

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.

MSC:

06B15 Representation theory of lattices
20E05 Free nonabelian groups
20E15 Chains and lattices of subgroups, subnormal subgroups
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